JEE MATHEMATICS MCQ: INDEFINITE INTEGRATION

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Application +4 | -1

\int \frac{x^4\left(x^{10}-1\right)}{x^{20}+3 x^{10}+1} d x

equals

View answer and explanation

Correct option: B

\frac{1}{5}{\operatorname{Tan} ^{ - 1}}\left( {{x^5} + \frac{1}{{{x^5}}}} \right) + c

Option B (

\frac{{1}}{{5}}{{\operatorname{{Tan}} ^{ - 1}}}\left( {{{{x^5} + \frac{{1}}{{{{x^5}}}}}}} \right) + c

) is correct because it is the result of the integration after substitution and simplification.

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