The value of the integral|DEFINITE INTEGRATION|JEE-Main 2019

JEE MAIN 2019

09-04-2019 S2

Question

The value of the integral $\int_0^1 x \cot ^{-1}\left(1-x^2+x^4\right) d x$ is

Select the correct option:

$\frac{\pi}{4}-\log _{\mathrm{e}} 2$

$\frac{\pi}{2}-\log _{\mathrm{e}} 2$

$\frac{\pi}{2}-\frac{1}{2} \log _{\mathrm{e}} 2$

$\frac{\pi}{4}-\frac{1}{2} \log _e 2$

✓ Correct! Well done.

✗ Incorrect. Try again or view the solution.

Solution

Question Tags

JEE Main

Mathematics

Hard

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