What is the integral of (cosh(x)+x^7) ?

The integral of (cosh(x)+x^7) is sinh(x)+(x^8)/8+C

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

integral of (cosh(x)+x^7)

\int (cosh (x) + x^{7}) d x

sinh (x) + \frac{x ^{8}}{8} + C

Solution steps

\int cosh (x) + x^{7} d x

Apply the Sum Rule:

\int f (x) \pm g (x) d x = \int f (x) d x \pm \int g (x) d x

= \int cosh (x) d x + \int x^{7} d x

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

\int x^{7} d x = \frac{x ^{8}}{8}

= sinh (x) + \frac{x ^{8}}{8}

Add a constant to the solution

= sinh (x) + \frac{x ^{8}}{8} + C

\int x (x - x + 1) d x

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

\int \frac{1}{( x 5 + 1 )} d x

\int (- 2 x y) d y

\int e^{2 - 2 x} d x

What is the integral of (cosh(x)+x^7) ?
The integral of (cosh(x)+x^7) is sinh(x)+(x^8)/8+C