If (I\_n=^{\frac{\pi}{4}}\_0\integral\tan^n x\ dx) where n i... | Mathematics | SolveeIt | Solveeit

Today, October 3

Question

If $I_n=^{\frac{\pi}{4}}_0\int\tan^n x\ dx$ where n is positive integer then I10 + I8 is equal to

A

9

B

$\frac{1}{7}$

C

$\frac{1}{8}$

D

$\frac{1}{9}$

Answer

$\frac{1}{9}$

Explanation

Solution

The correct answer is (D) : $\frac{1}{9}$ .