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Question 330005
JEE Mathematics · Medium

Indefinite Integration: Integration by substitution MCQ

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Integration by substitutionMediumQuestion 330005

Question

∫(2x)(x²+1)⁵ dx equals:
  1. A
    (x²+1)⁶/6 + C
    Correct
  2. B
    (x²+1)⁶ + C
  3. C
    2(x²+1)⁶/6 + C
  4. D
    5(x²+1)⁴ + C

Correct answer

(x²+1)⁶/6 + C

Explanation

Let u = x²+1, du = 2x dx. Integral becomes ∫u⁵ du = u⁶/6 + C = (x²+1)⁶/6 + C.

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