Question

$$ \int e^x (\tan x + \sec^2 x) \, dx = ? $$

• A. $e^x \sec x + c$
• B. $e^x \tan x + c$
• C. $e^x \cot x + c$
• D. $e^x \tan^2 x + c$

Hint:

Always check the derivative of the first term inside the bracket. In trigonometric forms involving $e^x$, common pairs are $(\sin x, \cos x)$, $(\tan x, \sec^2 x)$, and $(\sec x, \sec x \tan x)$.

Answer 1

The Correct Option is B