Question

What is ∫e^ln(tanx)dx equal to? 

a. ln |tan x| + c 

b. ln |sec x| + c 

c. tan x + c 

d. e^{tan x} + c

Answer 1

Correct option b. ln |sec x| + c

Explanation:

∫e^ln(tanx)dx = ∫tanxdx

= ln|secx| + c