JEE MATHEMATICS MCQ: INDEFINITE INTEGRATION

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Analyzing +4 | -1

\int e^x \frac{1+10 x^9-x^{20}}{\left(1-x^{10}\right) \sqrt{1-x^{20}}} d x

is equal to: (where

c

is an integral constant)

View answer and explanation

Correct option: C

\quad e^x\left(\sqrt{\frac{1+x^{10}}{1-x^{10}}}\right)+c

Option C (

e^x\left(\sqrt{{\frac{{1+x^{{10}}}}{{1-x^{{10}}}}}}\right)+c

) is correct because the integral can be expressed in the form

\int e^x (f(x) + f'(x)) dx = e^x f(x) + c

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