Question

Integrate ((tan(x))^5)(secx)dx from 0 to pi/3

Answer 1

Let \(\sec x = u\)

Answer 2

The given integrand is same as

\((\tan^2 x)^2 \sec x \tan x = (\sec^2x-1)\sec x\tan x\)

Answer 3

\((\tan^2 x)^2 \sec x \tan x = (\sec^2x-1)^2\sec x\tan x\)