What is the integral of xcosh(2x) ?

The integral of xcosh(2x) is 1/2 xsinh(2x)-1/4 cosh(2x)+C

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

integral of xcosh(2x)

\int x cosh (2 x) d x

\frac{1}{2} x sinh (2 x) - \frac{1}{4} cosh (2 x) + C

Solution steps

\int x cosh (2 x) d x

Apply Integration By Parts

: \frac{1}{2} x sinh (2 x) - \int \frac{1}{2} sinh (2 x) d x

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

\int \frac{1}{2} sinh (2 x) d x = \frac{1}{4} cosh (2 x)

= \frac{1}{2} x sinh (2 x) - \frac{1}{4} cosh (2 x)

Add a constant to the solution

= \frac{1}{2} x sinh (2 x) - \frac{1}{4} cosh (2 x) + C

\int (4 y + 2 t - 5) d t

\int \frac{6}{4 - 9 x ^{2}} d x

\int (8 x^{2} - 10)^{6} x d x

\int (\frac{y - 2}{y ^{2} - 4 y}) d y

\int tan (\frac{x}{2}) sec (\frac{x}{2}) d x

What is the integral of xcosh(2x) ?
The integral of xcosh(2x) is 1/2 xsinh(2x)-1/4 cosh(2x)+C