What is the integral of (tan(θ))/(sec(θ)) ?

The integral of (tan(θ))/(sec(θ)) is -cos(θ)+C

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

integral of (tan(θ))/(sec(θ))

\int \frac{tan ( θ )}{sec ( θ )} d θ

- cos (θ) + C

Solution steps

\int \frac{tan ( θ )}{sec ( θ )} d θ

Express with sin, cos

= \int sin (θ) d θ

Use the common integral:

\int sin (θ) d θ = - cos (θ)

= - cos (θ)

Add a constant to the solution

= - cos (θ) + C

\int x cos (πn x) d x

x \to 0 lim (\frac{3 x ^{2}}{x ^{2}})

x \to 6 + lim (x - 6)

\int (csc (x))^{3} d x

\int \frac{x}{x - 5} d x

What is the integral of (tan(θ))/(sec(θ)) ?
The integral of (tan(θ))/(sec(θ)) is -cos(θ)+C