What is the integral of 1/(sec(x)) ?

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

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

integral of 1/(sec(x))

integral

\frac{1}{sec ( x )}

sin (x) + C

Solution steps

\int \frac{1}{sec ( x )} d x

Rewrite using trig identities

= \int cos (x) d x

Use the common integral:

\int cos (x) d x = sin (x)

= sin (x)

Add a constant to the solution

= sin (x) + C

\frac{1}{( x ^{2} - x )}

\frac{x ^{3}}{x}

x (x^{2} + 1)^{3}

\frac{( 2 x + 1 )}{( x ^{2} + 1 )}

x^{- 2} e^{x}