en

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular Calculus >

integral of (3^x)^3

Solution

\int (3^{x})^{3} d x

Solution

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

Solution steps

\int (3^{x})^{3} d x

Simplify

(3^{x})^{3} : 2 7^{x}

= \int 2 7^{x} d x

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

= \frac{2 7 ^{x}}{ln ( 27 )}

Simplify

\frac{2 7 ^{x}}{ln ( 27 )} : \frac{3 ^{3 x - 1}}{ln ( 3 )}

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

Add a constant to the solution

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

Graph

Popular Examples

integral of 1/((3x+2))

integral of 3r^2e^{r^3}

integral of 3sqrt(121-x^2)

integral of (x^3)/(1+4x^2)

integral of 1/(sqrt(4-(x-2)^2))

Frequently Asked Questions (FAQ)

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