$\int \tan x dx$ is equal to

Use the substitution method: $\tan x = \frac{\sin x}{\cos x}$ , then integrate.

Indefinite Integration

Integration of Trigonometric Functions

Grade 12

Question:

$\int \tan x dx$ is equal to

(a) $\frac{x}{2} + C$

(b) $x + \frac{\pi}{2} + C$

(c) $\frac{x}{2} + \frac{\pi}{4} + C$

(d) $\frac{x}{2} + \frac{\pi}{2} + C$

Key Concept: Convert tangent to sine/cosine ratio and use substitution $u = \cos x$

Use the substitution method: $\tan x = \frac{\sin x}{\cos x}$, then integrate.

Correct Answer: C