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Question 330015
JEE Mathematics · Hard

Indefinite Integration: Mixed MCQ

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

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MixedHardQuestion 330015

Question

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

Correct answer

(1/2)ln(x²+1) + C

Explanation

Let u = x²+1, du = 2x dx → ∫x/(x²+1) dx = (1/2)∫du/u = (1/2)ln|u| + C = (1/2)ln(x²+1) + C.

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