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JEE Main 2019 · 12 Jan · Shift II

JEE Main 2019 Mathematics question on Indefinite Integration

The integral ∫3x13+2x11(2x4+3x2+1)4 dx\int \dfrac{3x^{13} + 2x^{11}}{(2x^4 + 3x^2 + 1)^4} \, dx is equal to (where CC is a constant of integration)
  1. A.
    x46(2x4+3x2+1)3+C\dfrac{x^4}{6(2x^4 + 3x^2 + 1)^3} + C
  2. B.
    x126(2x4+3x2+1)3+C\dfrac{x^{12}}{6(2x^4 + 3x^2 + 1)^3} + C
  3. C.
    x4(2x4+3x2+1)3+C\dfrac{x^4}{(2x^4 + 3x^2 + 1)^3} + C
  4. D.
    x12(2x4+3x2+1)3+C\dfrac{x^{12}}{(2x^4 + 3x^2 + 1)^3} + C
Show answer

Correct option: B

[JEE Main 2019 · 12 Jan · Shift II]

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