MCQMediumJEE Main 2023 · 25 January, Shift 1Indefinite Integrals

Mathematics Question from JEE Main 2023 · 25 January, Shift 1

Let f(x)=∫2x(x2+1)(x2+3) dxf(x) = \int \frac{2x}{(x^2 + 1)(x^2 + 3)} \, dx. If f(3)=12(log⁡e5−log⁡e6)f(3) = \frac{1}{2}(\log_e 5 - \log_e 6), then f(4)f(4) is equal to:

  • A

    12(log⁡e17−log⁡e19)\frac{1}{2}(\log_e 17 - \log_e 19)

  • B

    log⁡e17−log⁡e18\log_e 17 - \log_e 18

  • C

    12(log⁡e19−log⁡e17)\frac{1}{2}(\log_e 19 - \log_e 17)

  • D

    log⁡e19−log⁡e20\log_e 19 - \log_e 20

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