What is the integral of 4cosh(x)+x^3 ?

The integral of 4cosh(x)+x^3 is 4sinh(x)+(x^4)/4+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^3

\int 4 cosh (x) + x^{3} d x

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

Solution steps

\int 4 cosh (x) + x^{3} 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^{3} d x

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

\int x^{3} d x = \frac{x ^{4}}{4}

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

Add a constant to the solution

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

\int \frac{1}{x ^{2} 11 - x ^{2}} d x

\int \frac{3}{5 + 2 x ^{2}} d x

\int (x^{2} - 5 x + 6) d x

\int x sec^{2} (x^{2} + 7) d x

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

What is the integral of 4cosh(x)+x^3 ?
The integral of 4cosh(x)+x^3 is 4sinh(x)+(x^4)/4+C