JEE Main PYQ — Integral Calculus

Previous-year questions from the JEE Main paper, in the exact form they were asked, together with original practice pitched at the same level. Every question carries a full step-by-step solution that shows the method and names the trap it sets.

Questions marked Numeric Answer Type are the typed-answer kind: in the exam you enter the value yourself rather than choose from four options. They are shown here with options only so you can check yourself.

Nothing in this section repeats Sections 1-5.

Tip. Test for symmetry and the king property before attempting an antiderivative. Many of these have no elementary antiderivative at all. Work under time pressure — about two minutes a question — before you read any solution.