JEE Mathematics · Medium

Indefinite Integration: Mixed MCQ

Solve this quality-checked JEE multiple-choice question, then review the correct answer and explanation.

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MixedMediumQuestion 330014

Question

∫1/(1+x²) dx equals:
  1. A
    tan⁻¹x + C
    Correct
  2. B
    sin⁻¹x + C
  3. C
    sec⁻¹x + C
  4. D
    ln|1+x²| + C

Correct answer

tan⁻¹x + C

Explanation

Standard form: ∫1/(1+x²) dx = tan⁻¹x + C. Verify: d/dx(tan⁻¹x) = 1/(1+x²) ✓.