JEE MATHEMATICS MCQ: INDEFINITE INTEGRATION

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Application +4 | -1

Let

f(x)=\int \frac{\sqrt{x}}{(1+x)^2} d x(x \geq 0)

. Then

f(3)-f(1)

is equal to :

View answer and explanation

Correct option: D

\frac{\pi}{12}+\frac{1}{2}-\frac{\sqrt{3}}{4}

Option D

\frac{\pi}{12}+\frac{1}{2}-\frac{\sqrt{3}}{4}

is correct because it is the result of evaluating the definite integral after appropriate substitution and simplification.

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