What is the integral of (-1)/(cos^2(x)) ?

The integral of (-1)/(cos^2(x)) is -tan(x)+C

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

integral of (-1)/(cos^2(x))

\int \frac{- 1}{cos ^{2} ( x )} d x

- tan (x) + C

Solution steps

\int \frac{- 1}{cos ^{2} ( x )} d x

Take the constant out:

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

= - \int \frac{1}{cos ^{2} ( x )} d x

Use the common integral:

\int \frac{1}{cos ^{2} ( x )} d x = tan (x)

= - tan (x)

Add a constant to the solution

= - tan (x) + C

What is the integral of (-1)/(cos^2(x)) ?
The integral of (-1)/(cos^2(x)) is -tan(x)+C