JEE MATHEMATICS MCQ: INDEFINITE INTEGRATION

1 Easy

1 of 1

Application +4 | -1

\int\left(\frac{x^2-x-1}{x}+1\right)^{K+7}\left(\frac{x^2+1}{x^2}\right) d x

is equal to

View answer and explanation

Correct option: B

\frac{\left(x-\frac{1}{x}\right)^{K+8}}{k+8}+c

Option B (

\frac{(x-\frac{1}{x})^{K+8}}{k+8}+c

) is correct because substituting

t = x - \frac{1}{x}

simplifies the integral to a basic power rule integration.

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