What is the integral of e^x-e^{-x} ?

The integral of e^x-e^{-x} is 2cosh(x)+C

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

integral of e^x-e^{-x}

\int e^{x} - e^{- x} d x

2 cosh (x) + C

Solution steps

\int e^{x} - e^{- x} d x

Rewrite using trig identities

= \int 2 sinh (x) d x

Take the constant out:

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

= 2 \cdot \int sinh (x) d x

Use the common integral:

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

= 2 cosh (x)

Add a constant to the solution

= 2 cosh (x) + C

x = 1 - y^{2}, x = y^{2} - 1

\frac{\partial}{\partial x} (\frac{h ( x ) c}{x})

\int \frac{1}{4 x ( 3 + x )} d x

\int \frac{7 x}{x - 1} d x

2 x - x^{2}