en

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular Calculus >

integral of (e^x+1)

Solution

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

Solution

e^{x} + x + C

Solution steps

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

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

\int 1 d x = x

= e^{x} + x

Add a constant to the solution

= e^{x} + x + C

Graph

Popular Examples

derivative of x^4+12x^2+42

\frac{d}{d x} (x^{4} + 12 x^{2} + 42)

derivative of (6x/(2+x^2))

\frac{d}{d x} (\frac{6 x}{2 + x ^{2}})

x y^{^{'}} = 2 y + x^{3}

(\partial)/(\partial x)(k)

\frac{\partial}{\partial x} (k)

integral of 1/(ax^2+bx+c)

\int \frac{1}{a x ^{2} + b x + c} d x

Frequently Asked Questions (FAQ)

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