What is the integral of sqrt(cosh^2(x)) ?

The integral of sqrt(cosh^2(x)) is sinh(x)+C

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

integral of sqrt(cosh^2(x))

\int cosh^{2} (x) d x

sinh (x) + C

Solution steps

\int cosh^{2} (x) d x

cosh^{2} (x) = (cosh (x)),

assuming

cosh (x) \geq 0

= \int cosh (x) d x

Use the common integral:

\int cosh (x) d x = sinh (x)

= sinh (x)

Add a constant to the solution

= sinh (x) + C

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

\int \frac{- 2 x}{( 2 x + 4 ) - 4 x + 8} d x

\int sinh (3 x + 2) d x

\int sec^{2} (x) + π cos (x) d x

\int e^{π t} d t

What is the integral of sqrt(cosh^2(x)) ?
The integral of sqrt(cosh^2(x)) is sinh(x)+C