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JEE Main 2019 · 12 Apr · Shift I

JEE Main 2019 Mathematics question on Indefinite Integration

The integral ∫2x3−1x4+xdx\int \dfrac{2x^3 - 1}{x^4 + x} dx is equal to

(here CC is a constant of integration)
  1. A.
    12log⁡ex3+1x2+C\dfrac{1}{2} \log_e \dfrac{x^3 + 1}{x^2} + C
  2. B.
    12log⁡e(x3+1)2x3+C\dfrac{1}{2} \log_e \dfrac{(x^3 + 1)^2}{x^3} + C
  3. C.
    log⁡ex3+1x+C\log_e \dfrac{x^3 + 1}{x} + C
  4. D.
    log⁡ex3+1x2+C\log_e \dfrac{x^3 + 1}{x^2} + C
Show answer

Correct option: C

[JEE Main 2019 · 12 Apr · Shift I]

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