The Drill: 26 Questions, JEE Main Rules

Note: These are original questions written to the JEE Main pattern for Integrals — single-correct MCQs at exam difficulty. They are practice items, not past-paper reproductions.

Simulate the exam:

  1. Time budget: 26 questions in 65 minutes (about 2.5 minutes each — JEE Main pace).
  2. Marking: JEE Main scheme — +4 for each correct answer, −1 for each wrong answer, 00 for unattempted.
  3. Attempt everything in one sitting before reading any explanation.

Self-scoring table:

Result Marks
Correct answer +4
Wrong answer −1
Not attempted 0
Maximum score 104

Interpreting your score: 85+ — genuine JEE Main comfort zone; 65-84 — techniques are in place, speed and symmetry-spotting need drilling; 40-64 — revisit Sections 3-5 and 8, then retake; below 40 — go back through the solved examples of Section 9 first.

The question order deliberately mixes indefinite and definite integrals, exactly as the exam does. Scan each stem for a pattern label (function-derivative pair, f+ff + f', symmetric interval, self-complementary ratio) before computing anything.