If $I=\int_0^1 x \sqrt{\frac{1-x}{1+x}} d x$, the I equals

JEE MATHEMATICS MCQ: INDEFINITE INTEGRATION

1 Easy

1 of 1

Application +4 | -1

I=\int_0^1 x \sqrt{\frac{1-x}{1+x}} d x

, the I equals

View answer and explanation

Correct option: B

1-\frac{\pi}{4}

Option C is correct because splitting the integral and using substitution simplifies it to a manageable form, resulting in 2(1 - 1/e).

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