Students can read the important questions given below for Integrals Class 12 Mathematics. All Integrals Class 12 Notes and questions with solutions have been prepared based on the latest syllabus and examination guidelines issued by CBSE, NCERT and KVS. You should read all notes provided by us and Class 12 Mathematics Important Questions provided for all chapters to get better marks in examinations. Mathematics Question Bank Class 12 is available on our website for free download in PDF.
Important Questions of Integrals Class 12
Very Short Answer Type Questions
Question.
![Integrals Class 12 Mathematics Important Questions](https://cbsencertsolutions.com/wp-content/uploads/2022/05/image-1352.png)
Answer.
![Integrals Class 12 Mathematics Important Questions](https://cbsencertsolutions.com/wp-content/uploads/2022/05/image-1353.png)
Question. Evaluate:
![Integrals Class 12 Mathematics Important Questions](https://cbsencertsolutions.com/wp-content/uploads/2022/05/image-1354.png)
Answer.
![Integrals Class 12 Mathematics Important Questions](https://cbsencertsolutions.com/wp-content/uploads/2022/05/image-1355.png)
Question. Evaluate:
![Integrals Class 12 Mathematics Important Questions](https://cbsencertsolutions.com/wp-content/uploads/2022/05/image-1348.png)
Answer.
![Integrals Class 12 Mathematics Important Questions](https://cbsencertsolutions.com/wp-content/uploads/2022/05/image-1349.png)
Question. Find:
![Integrals Class 12 Mathematics Important Questions](https://cbsencertsolutions.com/wp-content/uploads/2022/05/image-1350.png)
Answer.
![Integrals Class 12 Mathematics Important Questions](https://cbsencertsolutions.com/wp-content/uploads/2022/05/image-1351.png)
Question. Evaluate:
![Integrals Class 12 Mathematics Important Questions](https://cbsencertsolutions.com/wp-content/uploads/2022/05/image-1356.png)
Answer.
![Integrals Class 12 Mathematics Important Questions](https://cbsencertsolutions.com/wp-content/uploads/2022/05/image-1357.png)
![Integrals Class 12 Mathematics Important Questions](https://cbsencertsolutions.com/wp-content/uploads/2022/05/image-1358.png)
Question.
![Integrals Class 12 Mathematics Important Questions](https://cbsencertsolutions.com/wp-content/uploads/2022/05/image-1365.png)
Answer.
![Integrals Class 12 Mathematics Important Questions](https://cbsencertsolutions.com/wp-content/uploads/2022/05/image-1366.png)
Question. Evaluate:
![Integrals Class 12 Mathematics Important Questions](https://cbsencertsolutions.com/wp-content/uploads/2022/05/image-1367.png)
Answer.
![Integrals Class 12 Mathematics Important Questions](https://cbsencertsolutions.com/wp-content/uploads/2022/05/image-1368.png)
![Integrals Class 12 Mathematics Important Questions](https://cbsencertsolutions.com/wp-content/uploads/2022/05/image-1369.png)
Question. Find ∫(cos2 2x – sin2 2x)dx
Answer. ∫cos4xdx = sin4x/4 + c
Question.
![Integrals Class 12 Mathematics Important Questions](https://cbsencertsolutions.com/wp-content/uploads/2022/06/image-727.png)
then find the value of a.
Answer.
![Integrals Class 12 Mathematics Important Questions](https://cbsencertsolutions.com/wp-content/uploads/2022/06/image-728.png)
Question.
![Integrals Class 12 Mathematics Important Questions](https://cbsencertsolutions.com/wp-content/uploads/2022/06/image-729.png)
Answer.
![Integrals Class 12 Mathematics Important Questions](https://cbsencertsolutions.com/wp-content/uploads/2022/06/image-730.png)
Question. Evaluate
![Integrals Class 12 Mathematics Important Questions](https://cbsencertsolutions.com/wp-content/uploads/2022/06/image-731.png)
Answer.
![Integrals Class 12 Mathematics Important Questions](https://cbsencertsolutions.com/wp-content/uploads/2022/06/image-732.png)
Question.
![Integrals Class 12 Mathematics Important Questions](https://cbsencertsolutions.com/wp-content/uploads/2022/06/image-733.png)
Answer.
![Integrals Class 12 Mathematics Important Questions](https://cbsencertsolutions.com/wp-content/uploads/2022/06/image-734.png)
Question. Find
![Integrals Class 12 Mathematics Important Questions](https://cbsencertsolutions.com/wp-content/uploads/2022/06/image-735.png)
Answer.
![Integrals Class 12 Mathematics Important Questions](https://cbsencertsolutions.com/wp-content/uploads/2022/06/image-736.png)
Question.
![Integrals Class 12 Mathematics Important Questions](https://cbsencertsolutions.com/wp-content/uploads/2022/06/image-737.png)
Answer.
![Integrals Class 12 Mathematics Important Questions](https://cbsencertsolutions.com/wp-content/uploads/2022/06/image-738.png)
Question. Evaluate:
![Integrals Class 12 Mathematics Important Questions](https://cbsencertsolutions.com/wp-content/uploads/2022/05/image-1359.png)
Answer.
![Integrals Class 12 Mathematics Important Questions](https://cbsencertsolutions.com/wp-content/uploads/2022/05/image-1360.png)
Question.
![Integrals Class 12 Mathematics Important Questions](https://cbsencertsolutions.com/wp-content/uploads/2022/05/image-1361.png)
Answer.
![Integrals Class 12 Mathematics Important Questions](https://cbsencertsolutions.com/wp-content/uploads/2022/05/image-1362.png)
Question. Evaluate:
![Integrals Class 12 Mathematics Important Questions](https://cbsencertsolutions.com/wp-content/uploads/2022/05/image-1363.png)
Answer.
![Integrals Class 12 Mathematics Important Questions](https://cbsencertsolutions.com/wp-content/uploads/2022/05/image-1364.png)
Short Answer Type Questions
Question.
![Integrals Class 12 Mathematics Important Questions](https://cbsencertsolutions.com/wp-content/uploads/2022/05/image-1372.png)
Answer.
![Integrals Class 12 Mathematics Important Questions](https://cbsencertsolutions.com/wp-content/uploads/2022/05/image-1373.png)
Question.
![Integrals Class 12 Mathematics Important Questions](https://cbsencertsolutions.com/wp-content/uploads/2022/05/image-1370.png)
Answer.
![Integrals Class 12 Mathematics Important Questions](https://cbsencertsolutions.com/wp-content/uploads/2022/05/image-1371.png)
Question.
![Integrals Class 12 Mathematics Important Questions](https://cbsencertsolutions.com/wp-content/uploads/2022/05/image-1374.png)
Answer.
![Integrals Class 12 Mathematics Important Questions](https://cbsencertsolutions.com/wp-content/uploads/2022/05/image-1375.png)
Question. Find:
![Integrals Class 12 Mathematics Important Questions](https://cbsencertsolutions.com/wp-content/uploads/2022/06/image-739.png)
Answer.
![Integrals Class 12 Mathematics Important Questions](https://cbsencertsolutions.com/wp-content/uploads/2022/06/image-740.png)
Question. Find:
![Integrals Class 12 Mathematics Important Questions](https://cbsencertsolutions.com/wp-content/uploads/2022/06/image-743.png)
Answer.
![Integrals Class 12 Mathematics Important Questions](https://cbsencertsolutions.com/wp-content/uploads/2022/06/image-742.png)
Question. Evaluate
![Integrals Class 12 Mathematics Important Questions](https://cbsencertsolutions.com/wp-content/uploads/2022/06/image-746.png)
Answer.
![Integrals Class 12 Mathematics Important Questions](https://cbsencertsolutions.com/wp-content/uploads/2022/06/image-745.png)
Question.
![Integrals Class 12 Mathematics Important Questions](https://cbsencertsolutions.com/wp-content/uploads/2022/06/image-747.png)
OR
![Integrals Class 12 Mathematics Important Questions](https://cbsencertsolutions.com/wp-content/uploads/2022/06/image-748.png)
Answer.
![Integrals Class 12 Mathematics Important Questions](https://cbsencertsolutions.com/wp-content/uploads/2022/06/image-750.png)
Question. Evaluate:
![Integrals Class 12 Mathematics Important Questions](https://cbsencertsolutions.com/wp-content/uploads/2022/06/image-751.png)
Answer.
![Integrals Class 12 Mathematics Important Questions](https://cbsencertsolutions.com/wp-content/uploads/2022/06/image-753.png)
Question. Evaluate:
![Integrals Class 12 Mathematics Important Questions](https://cbsencertsolutions.com/wp-content/uploads/2022/06/image-754.png)
Answer.
![Integrals Class 12 Mathematics Important Questions](https://cbsencertsolutions.com/wp-content/uploads/2022/06/image-756.png)
Question. Find:
![Integrals Class 12 Mathematics Important Questions](https://cbsencertsolutions.com/wp-content/uploads/2022/06/image-757.png)
Answer. Put sin x = t ⇒ cos x dx = dt
![Integrals Class 12 Mathematics Important Questions](https://cbsencertsolutions.com/wp-content/uploads/2022/06/image-759.png)
![Integrals Class 12 Mathematics Important Questions](https://cbsencertsolutions.com/wp-content/uploads/2022/06/image-761.png)
Question.
![Integrals Class 12 Mathematics Important Questions](https://cbsencertsolutions.com/wp-content/uploads/2022/06/image-764.png)
Answer.
![Integrals Class 12 Mathematics Important Questions](https://cbsencertsolutions.com/wp-content/uploads/2022/06/image-769.png)
![Integrals Class 12 Mathematics Important Questions](https://cbsencertsolutions.com/wp-content/uploads/2022/06/image-767.png)
Question. Evaluate:
![Integrals Class 12 Mathematics Important Questions](https://cbsencertsolutions.com/wp-content/uploads/2022/06/image-771.png)
Answer.
![Integrals Class 12 Mathematics Important Questions](https://cbsencertsolutions.com/wp-content/uploads/2022/06/image-773.png)
![Integrals Class 12 Mathematics Important Questions](https://cbsencertsolutions.com/wp-content/uploads/2022/06/image-775.png)
Question. Find:
![Integrals Class 12 Mathematics Important Questions](https://cbsencertsolutions.com/wp-content/uploads/2022/06/image-777.png)
Answer.
![Integrals Class 12 Mathematics Important Questions](https://cbsencertsolutions.com/wp-content/uploads/2022/06/image-778.png)
Question. Find:
![Integrals Class 12 Mathematics Important Questions](https://cbsencertsolutions.com/wp-content/uploads/2022/06/image-791.png)
Answer
![Integrals Class 12 Mathematics Important Questions](https://cbsencertsolutions.com/wp-content/uploads/2022/06/image-794.png)
Question. Find:
![Integrals Class 12 Mathematics Important Questions](https://cbsencertsolutions.com/wp-content/uploads/2022/06/image-803.png)
Answer.
![Integrals Class 12 Mathematics Important Questions](https://cbsencertsolutions.com/wp-content/uploads/2022/06/image-800.png)
![Integrals Class 12 Mathematics Important Questions](https://cbsencertsolutions.com/wp-content/uploads/2022/06/image-802.png)
Question. Evaluate:
![Integrals Class 12 Mathematics Important Questions](https://cbsencertsolutions.com/wp-content/uploads/2022/06/image-805.png)
Answer.
![](https://cbsencertsolutions.com/wp-content/uploads/2022/06/image-807.png)
![Integrals Class 12 Mathematics Important Questions](https://cbsencertsolutions.com/wp-content/uploads/2022/06/image-810.png)
Question. Find:
![Integrals Class 12 Mathematics Important Questions](https://cbsencertsolutions.com/wp-content/uploads/2022/06/image-811.png)
Answer.
![Integrals Class 12 Mathematics Important Questions](https://cbsencertsolutions.com/wp-content/uploads/2022/06/image-813.png)
![Integrals Class 12 Mathematics Important Questions](https://cbsencertsolutions.com/wp-content/uploads/2022/06/image-815.png)
Question.
![Integrals Class 12 Mathematics Important Questions](https://cbsencertsolutions.com/wp-content/uploads/2022/06/image-817.png)
Answer.
![](https://cbsencertsolutions.com/wp-content/uploads/2022/06/image-818.png)
![Integrals Class 12 Mathematics Important Questions](https://cbsencertsolutions.com/wp-content/uploads/2022/06/image-822.png)
Question. Find:
![Integrals Class 12 Mathematics Important Questions](https://cbsencertsolutions.com/wp-content/uploads/2022/06/image-826.png)
Answer.
![Integrals Class 12 Mathematics Important Questions](https://cbsencertsolutions.com/wp-content/uploads/2022/06/image-828.png)
Question. Find:
![Integrals Class 12 Mathematics Important Questions](https://cbsencertsolutions.com/wp-content/uploads/2022/06/image-829.png)
Answer.
![Integrals Class 12 Mathematics Important Questions](https://cbsencertsolutions.com/wp-content/uploads/2022/06/image-830.png)
Question. Find:
![Integrals Class 12 Mathematics Important Questions](https://cbsencertsolutions.com/wp-content/uploads/2022/06/image-831.png)
Answer.
![Integrals Class 12 Mathematics Important Questions](https://cbsencertsolutions.com/wp-content/uploads/2022/06/image-832.png)
Question. Find
![Integrals Class 12 Mathematics Important Questions](https://cbsencertsolutions.com/wp-content/uploads/2022/06/image-834.png)
Answer.
![Integrals Class 12 Mathematics Important Questions](https://cbsencertsolutions.com/wp-content/uploads/2022/06/image-836.png)
Question. Evaluate:
![Integrals Class 12 Mathematics Important Questions](https://cbsencertsolutions.com/wp-content/uploads/2022/06/image-837.png)
Answer.
![Integrals Class 12 Mathematics Important Questions](https://cbsencertsolutions.com/wp-content/uploads/2022/06/image-845.png)
![Integrals Class 12 Mathematics Important Questions](https://cbsencertsolutions.com/wp-content/uploads/2022/06/image-843.png)
Question.
![Integrals Class 12 Mathematics Important Questions](https://cbsencertsolutions.com/wp-content/uploads/2022/05/image-1378.png)
Answer.
![Integrals Class 12 Mathematics Important Questions](https://cbsencertsolutions.com/wp-content/uploads/2022/05/image-1379.png)
![](https://cbsencertsolutions.com/wp-content/uploads/2022/05/image-1380.png)
Question.
![Integrals Class 12 Mathematics Important Questions](https://cbsencertsolutions.com/wp-content/uploads/2022/05/image-1376.png)
Answer.
![Integrals Class 12 Mathematics Important Questions](https://cbsencertsolutions.com/wp-content/uploads/2022/05/image-1377.png)
Long Answer Type Questions
Question.
![Integrals Class 12 Mathematics Important Questions](https://cbsencertsolutions.com/wp-content/uploads/2022/05/image-1384.png)
Answer.
![](https://cbsencertsolutions.com/wp-content/uploads/2022/05/image-1387.png)
![Integrals Class 12 Mathematics Important Questions](https://cbsencertsolutions.com/wp-content/uploads/2022/05/image-1386.png)
Question.
![Integrals Class 12 Mathematics Important Questions](https://cbsencertsolutions.com/wp-content/uploads/2022/05/image-1381.png)
Answer. Hint
![Integrals Class 12 Mathematics Important Questions](https://cbsencertsolutions.com/wp-content/uploads/2022/05/image-1383.png)
Question. Evaluate:
![Integrals Class 12 Mathematics Important Questions](https://cbsencertsolutions.com/wp-content/uploads/2022/06/image-852.png)
Sol.
![Integrals Class 12 Mathematics Important Questions](https://cbsencertsolutions.com/wp-content/uploads/2022/06/image-854.png)
Question. Find:
![Integrals Class 12 Mathematics Important Questions](https://cbsencertsolutions.com/wp-content/uploads/2022/06/image-856.png)
Sol.
![Integrals Class 12 Mathematics Important Questions](https://cbsencertsolutions.com/wp-content/uploads/2022/06/image-859.png)
![](https://cbsencertsolutions.com/wp-content/uploads/2022/06/image-862.png)