JEE MATHEMATICS MCQ: INDEFINITE INTEGRATION

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Analyzing +4 | -1

m

is a non-zero number and

\int \frac{x^{5 m-1}+2 x^{4 m-1}}{\left(x^{2 m}+x^m+1\right)^3} d x=f(x)+c

, then

f(x)

View answer and explanation

Correct option: B

\frac{x^{4 m}}{2 m\left(x^{2 m}+x^m+1\right)^2}

Option B (

\frac{x^{4 m}}{2 m\left(x^{2 m}+x^m+1\right)^2}

) is correct because it is the result of integrating the given expression after substitution and simplification.

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f\left(\frac{4}{25}\right)

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{C}

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