What is the integral of e^x-5x^4+sin(x) ?

The integral of e^x-5x^4+sin(x) is e^x-x^5-cos(x)+C

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

integral of e^x-5x^4+sin(x)

\int e^{x} - 5 x^{4} + sin (x) d x

e^{x} - x^{5} - cos (x) + C

Solution steps

\int e^{x} - 5 x^{4} + sin (x) 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 e^{x} d x - \int 5 x^{4} d x + \int sin (x) d x

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

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

\int sin (x) d x = - cos (x)

= e^{x} - x^{5} - cos (x)

Add a constant to the solution

= e^{x} - x^{5} - cos (x) + C

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

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

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

\int e^{- (s + 3) t} d t

What is the integral of e^x-5x^4+sin(x) ?
The integral of e^x-5x^4+sin(x) is e^x-x^5-cos(x)+C