If $\int \frac{d x}{x+x^7}=p(x)$ then, $\int \frac{x^6}{x+x^7} d x$ is equal to:

JEE MATHEMATICS MCQ: DEFINITE INTEGRATION

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Application +4 | -1

\int \frac{d x}{x+x^7}=p(x)

then,

\int \frac{x^6}{x+x^7} d x

is equal to:

View answer and explanation

Correct option: A

\ln |x|-p(x)+c

Option A (

\ln |x|-p(x)+c

) is correct because the integral can be separated and simplified using the given definition of

p(x)

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