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^{3x}

Solution

\int 2^{3 x} d x

Solution

\frac{8 ^{x}}{3 ln ( 2 )} + C

Solution steps

\int 2^{3 x} d x

Simplify

2^{3 x} : 8^{x}

= \int 8^{x} d x

\int a^{x} d x = \frac{a ^{x}}{ln a}

= \frac{8 ^{x}}{ln ( 8 )}

Simplify

ln (8) : 3 ln (2)

= \frac{8 ^{x}}{3 ln ( 2 )}

Add a constant to the solution

= \frac{8 ^{x}}{3 ln ( 2 )} + C

Graph

Popular Examples

limit as x approaches 0 of (1+8x)^{5/x}

(d^2)/(d{r)(θ)dθ}({r}(θ)sin(θ))

derivative of cos(x^2)-2x^2sin(x^2)

area \sqrt[6]{x},x^2

integral of 8e^{-8x}

Frequently Asked Questions (FAQ)

What is the integral of 2^{3x} ?
The integral of 2^{3x} is (8^x)/(3ln(2))+C