What is the integral of (4cosh(x)+x^6) ?

The integral of (4cosh(x)+x^6) is 4sinh(x)+(x^7)/7+C

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

integral of (4cosh(x)+x^6)

\int (4 cosh (x) + x^{6}) d x

4 sinh (x) + \frac{x ^{7}}{7} + C

Solution steps

\int 4 cosh (x) + x^{6} 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 4 cosh (x) d x + \int x^{6} d x

\int 4 cosh (x) d x = 4 sinh (x)

\int x^{6} d x = \frac{x ^{7}}{7}

= 4 sinh (x) + \frac{x ^{7}}{7}

Add a constant to the solution

= 4 sinh (x) + \frac{x ^{7}}{7} + C

\int \frac{2 x - 6}{x ^{2} - 81} d x

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

\int \frac{( x + 1 ) ^{2}}{x ^{3}} d x

\int \frac{2}{5} d x

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

What is the integral of (4cosh(x)+x^6) ?
The integral of (4cosh(x)+x^6) is 4sinh(x)+(x^7)/7+C