en

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

integral of 1+e^x

Solution

integral

1 + e^{x}

Solution

x + e^{x} + C

Solution steps

\int 1 + e^{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 1 d x + \int e^{x} d x

\int 1 d x = x

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

= x + e^{x}

Add a constant to the solution

= x + e^{x} + C

Popular Examples

integral of (cos^2(x))/((1+sin^2(x)))integral

\frac{cos ^{2} ( x )}{( 1 + sin ^{2} ( x ) )}

integral of x/((x^4-1))integral

\frac{x}{( x ^{4} - 1 )}

integral of (200)/(x^3)integral

\frac{200}{x ^{3}}

integral of-5x^2 integral

- 5 x^{2}

integral of 2/((x^2+3x+2))integral

\frac{2}{( x ^{2} + 3 x + 2 )}

Frequently Asked Questions (FAQ)

What is the integral of 1+e^x ?
The integral of 1+e^x is x+e^x+C