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

The integral of (x^4)/4+cosh(x)+C is (x^5)/(20)+sinh(x)+Cx+C

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

integral of (x^4)/4+cosh(x)+C

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

\frac{x ^{5}}{20} + sinh (x) + C x + C

Solution steps

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

\int \frac{x ^{4}}{4} d x = \frac{x ^{5}}{20}

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

\int C d x = C x

= \frac{x ^{5}}{20} + sinh (x) + C x

Add a constant to the solution

= \frac{x ^{5}}{20} + sinh (x) + C x + C

y = e^{2} + 2 x

x \to 0 lim (\frac{e ^{x} - 1}{15 x})

\frac{d}{d x} (\frac{e ^{a x} - e ^{- a x}}{e ^{a x} + e ^{- a x}})

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

x \to 1 lim (5 - x)

What is the integral of (x^4)/4+cosh(x)+C ?
The integral of (x^4)/4+cosh(x)+C is (x^5)/(20)+sinh(x)+Cx+C