en

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular Calculus >

integral of 4^{3x}

Solution

\int 4^{3 x} d x

Solution

\frac{2 ^{6 x - 1}}{3 ln ( 2 )} + C

Solution steps

\int 4^{3 x} d x

Simplify

4^{3 x} : 6 4^{x}

= \int 6 4^{x} d x

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

= \frac{6 4 ^{x}}{ln ( 64 )}

Simplify

\frac{6 4 ^{x}}{ln ( 64 )} : \frac{2 ^{6 x - 1}}{3 ln ( 2 )}

= \frac{2 ^{6 x - 1}}{3 ln ( 2 )}

Add a constant to the solution

= \frac{2 ^{6 x - 1}}{3 ln ( 2 )} + C

Graph

Popular Examples

f(t)=t^3-2t^2+5t+4

tangent of f(x)=(e^{-x})/(x+1),\at x=1

derivative of x/((1-x))

sum from n=1 to infinity of ln(1+2/n)

derivative of y=(2x)/(5-cot(x))

Frequently Asked Questions (FAQ)

What is the integral of 4^{3x} ?
The integral of 4^{3x} is (2^{6x-1})/(3ln(2))+C