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Integrals — NEET Maths MCQs

30 questions written by hand against the NCERT chapter. Every wrong option is explained, not just the right one.

30questions
10/14/6easy / medium / hard
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Sample questions from this chapter

∫x² dx equals
  1. x³/3 + C ✓
  2. 2x + C
  3. x³ + C
  4. x²/2 + C
Answer: A. Differentiating x³/3+C gives x².
Why not B: Differentiates instead of integrating.
Why not C: Raises the power but omits division by 3.
Why not D: Copies the integral rule for x.
∫2x/(x²+1) dx equals
  1. 2ln(x²+1)+C
  2. ln|x|+C
  3. ln(x²+1)+C ✓
  4. 1/(x²+1)+C
Answer: C. Differentiating ln(x²+1) gives 2x/(x²+1).
Why not A: Fails to account for the numerator already matching the inner derivative.
Why not B: Uses only the numerator pattern.
Why not D: Integrates as a reciprocal power.
∫x²eˣ dx equals
  1. eˣ(x²−2x+2)+C ✓
  2. eˣx²+C
  3. eˣ(x²−2x)+C
  4. eˣ(x²+2x+2)+C
Answer: A. Differentiating eˣ(x²−2x+2) leaves eˣx² after cancellation.
Why not B: Stops before the by-parts corrections.
Why not C: Omits the final +2 term.
Why not D: Uses the wrong signs in both corrections.

These are 3 of the 30 questions in the test. Take the full chapter test →

Read the chapter first

Every NCERT question in this chapter is solved, free: NCERT solutions — Integrals →

Other NEET Maths chapters

SetsRelations and FunctionsTrigonometric FunctionsComplex Numbers and Quadratic EquationsLinear InequalitiesPermutations and Combinations

All 27 chapters →

Questions

How many NEET questions are there on Integrals?

This chapter test has 30 questions — 10 easy, 14 medium and 6 hard — all written against the NCERT Class 12 chapter.

Is this NEET Maths chapter test free?

Yes. Every chapter test is free with no login, and you get your all-India rank on every one. Nothing on the site is on sale right now.

Do the questions explain the wrong options?

Yes — every distractor carries its own explanation naming the specific misconception that makes a student pick it. That is the part most question banks skip, and it is the part that changes your next attempt.