JEE MATHEMATICS MCQ: INDEFINITE INTEGRATION

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Application +4 | -1

Let

f(x)=\int \frac{2 x}{\left(x^{2}+1\right)\left(x^{2}+3\right)} d x

. If

f(3)=\frac{1}{2}\left(\log _{e} 5-\log _{e} 6\right)

, then

f(4)

is equal to

View answer and explanation

Correct option: C

\frac{1}{2}\left(\log _{e} 17-\log _{e} 19\right)

Option C (

\frac{{1}}{{2}}(\log _{{e}} 17-\log _{{e}} 19)

) is correct because after evaluating the integral and using the given condition f(3), we can find the value of f(4).

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