What is the integral of tan(3x)sec(3x) ?

The integral of tan(3x)sec(3x) is 1/3 sec(3x)+C

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

integral of tan(3x)sec(3x)

\int tan (3 x) sec (3 x) d x

\frac{1}{3} sec (3 x) + C

Solution steps

\int tan (3 x) sec (3 x) d x

Apply u-substitution

= \int \frac{1}{3} d u

Integral of a constant:

\int a d x = a x

= \frac{1}{3} u

Substitute back

u = sec (3 x)

= \frac{1}{3} sec (3 x)

Add a constant to the solution

= \frac{1}{3} sec (3 x) + C

What is the integral of tan(3x)sec(3x) ?
The integral of tan(3x)sec(3x) is 1/3 sec(3x)+C