Question

$\int e^{\sin x}\left(\sin x+{\sec }^{2}x\right)dx$ is equal to

• A. $e^{\sin x}\cdot \cos x+C$
• B. $e^{\sin x}\cdot \sec x+C$
• C. $e^{\sin x}\cdot \tan x+C$
• D. None of these

Answer 1

Answer: (C)

$\int e^{\sin x}\left(\cos x\cdot \tan x+{\sec }^{2}x\right)dx=e^{\sin x}\cdot \tan x+C$