en

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

integral of 5e^x+5

Solution

\int 5 e^{x} + 5 d x

Solution

5 e^{x} + 5 x + C

Solution steps

\int 5 e^{x} + 5 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 5 e^{x} d x + \int 5 d x

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

\int 5 d x = 5 x

= 5 e^{x} + 5 x

Add a constant to the solution

= 5 e^{x} + 5 x + C

Popular Examples

integral of e^{(-4x)}

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

integral of (20x)/(\sqrt[3]{7-3x^2)}

integral of 5e^x+3

\int 5 e^{x} + 3 d x

integral of sqrt(1+x^2)*x

\int 1 + x^{2} \cdot x d x

integral of (e^x)/((1-3e^x)^2)

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

Frequently Asked Questions (FAQ)

What is the integral of 5e^x+5 ?
The integral of 5e^x+5 is 5e^x+5x+C