What is the integral of 3sec(x) ?

The integral of 3sec(x) is 3ln|tan(x)+sec(x)|+C

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

integral of 3sec(x)

\int 3 sec (x) d x

3 ln ∣ tan (x) + sec (x) ∣ + C

Solution steps

\int 3 sec (x) d x

Take the constant out:

\int a \cdot f (x) d x = a \cdot \int f (x) d x

= 3 \cdot \int sec (x) d x

Use the common integral:

\int sec (x) d x = ln ∣ tan (x) + sec (x) ∣

= 3 ln ∣ tan (x) + sec (x) ∣

Add a constant to the solution

= 3 ln ∣ tan (x) + sec (x) ∣ + C

\frac{\partial}{\partial x} (a^{2})

\int (x - 2)^{\frac{3}{2}} d x

x \to 7 - lim (\frac{2 x + 1}{x - 7})

x \to \infty lim (1.0 7^{x})

3 sin (t) - 3 cos (t)

What is the integral of 3sec(x) ?
The integral of 3sec(x) is 3ln|tan(x)+sec(x)|+C