Let Then is equal to................|INDEFINITE INTEGRATION

JEE MAIN 2020

04-09-2020 S1

Question

Let $f(x)=\int \frac{\sqrt{x}}{(1+x)^2} d x(x \geq 0)$. Then $f(3)-f(1)$ is equal to:

Select the correct option:

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

$-\frac{\pi}{6}+\frac{1}{2}-\frac{\sqrt{3}}{4}$

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

$\frac{\pi}{6}+\frac{1}{2}-\frac{\sqrt{3}}{4}$

✓ Correct! Well done.

✗ Incorrect. Try again or view the solution.

Solution

Question Tags

JEE Main

Mathematics

Hard

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