Question

Evaluate : $\int \left(3\sin x-4\cos x+5{\sec }^{2}x-2\cos e{c}^{2}x\right)dx$

Answer 1

We have,

$I=\int \left(3\sin x-4\cos x+5{\sec }^{2}x-2\cos e{c}^{2}x\right)dx$

$I=3(-\cos x)-4\sin x+5\tan x-2(-\cot x)+C$

$I=-3\cos x-4\sin x+5\tan x+2\cot x+C$

Hence, this is the answer.