Let f of x equals tangent... |JEE Advanced 2015| Mathematics

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JEE Advance 2015

Paper-2 2015

Multiple correct answers - Select all that apply

Question

Let $f(x)=7 \tan ^8 x+7 \tan ^6 x-3 \tan ^4 x-3 \tan ^2 x$ for all $x \in\left(-\frac{\pi}{2}, \frac{\pi}{2}\right)$. Then the correct expression(s) is (are)

Select ALL correct options:

A

$\int_0^{\pi / 4} x f(x) d x=\frac{1}{12}$

B

$\int_0^{\pi / 4} f(x) d x=0$

C

$\int_0^{\pi / 4} x f(x) d x=\frac{1}{6}$

D

$\int_0^{\pi / 4} f(x) d x=1$

✓ Correct! Well done.

✗ Incorrect. Try again or view the solution.

⚠ Partially correct. Some answers are missing.

Solution

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