en

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular Calculus >

integral of 2^x+2x

Solution

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

Solution

\frac{2 ^{x}}{ln ( 2 )} + x^{2} + C

Solution steps

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

\int 2^{x} d x = \frac{2 ^{x}}{ln ( 2 )}

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

= \frac{2 ^{x}}{ln ( 2 )} + x^{2}

Add a constant to the solution

= \frac{2 ^{x}}{ln ( 2 )} + x^{2} + C

Graph

Popular Examples

integral of (x^2-2x)cos(x)

integral of t/((t^2+1)^2)

integral of 1/(sin(5x))

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

integral of (5.4145)/(sqrt(1+0.91t))

Frequently Asked Questions (FAQ)

What is the integral of 2^x+2x ?
The integral of 2^x+2x is (2^x)/(ln(2))+x^2+C