JEE Main 2026MathematicsDefinite IntegrationMediumMCQ

JEE Main 2026Definite Integration Question with Solution

JEE Main 2026 (06 April Shift 1)

Question

The value of the integral is:

Choose an option

Show full solutionCorrect option: B
Correct answer
B

Step-by-step explanation

Let

Using the definite integral property , we get:











Using the trigonometric identity , we can write:





Substituting this back into the integral:





Integrating term by term:







Answer:

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About this question

This is a previous-year question from JEE Main 2026, covering the Definite Integration chapter of Mathematics. PrepSharp catalogues every PYQ from JEE Main with a verified answer key and step-by-step solution prepared by IIT alumni — so you can search by chapter, topic or year and revise efficiently.