What is the integral of xcosh(a)x ?

The integral of xcosh(a)x is 1/3 x^3cosh(a)+C

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

integral of xcosh(a)x

\int x cosh (a) x d x

\frac{1}{3} x^{3} cosh (a) + C

Solution steps

\int x cosh (a) x d x

Take the constant out:

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

= cosh (a) \cdot \int xx d x

Simplify

xx : x^{2}

= cosh (a) \cdot \int x^{2} d x

Apply the Power Rule

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

= cosh (a) \frac{x ^{3}}{3}

Simplify

cosh (a) \frac{x ^{3}}{3} : \frac{1}{3} x^{3} cosh (a)

= \frac{1}{3} x^{3} cosh (a)

Add a constant to the solution

= \frac{1}{3} x^{3} cosh (a) + C

\int (t + t^{2}) e^{- t} d t

\int sec^{2} (t) tan^{2} (t) d t

\int \frac{3 x - 1}{x ^{2} - 5 x} d x

\int \frac{( x + 1 )}{x ^{2} + 2 x + 4} d x

\int e^{x} \frac{1}{1 + e ^{2 x}} d x

What is the integral of xcosh(a)x ?
The integral of xcosh(a)x is 1/3 x^3cosh(a)+C