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JEE Main 2023 · 25 Jan · Shift 2

JEE Main 2023 Mathematics question on Definite Integrals and Areas

The integral 16∫12dxx3(x2+2)216\int_{1}^{2} \frac{dx}{x^3(x^2+2)^2} is equal to
  1. A.
    116+log⁡e4\frac{11}{6} + \log_e 4
  2. B.
    1112−log⁡e4\frac{11}{12} - \log_e 4
  3. C.
    1112+log⁡e4\frac{11}{12} + \log_e 4
  4. D.
    116−log⁡e4\frac{11}{6} - \log_e 4
Show answer

Correct option: D

[JEE Main 2023 · 25 Jan · Shift 2]

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