en

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

integral of 7^{3x}

Solution

\int 7^{3 x} d x

Solution

\frac{34 3 ^{x}}{3 ln ( 7 )} + C

Solution steps

\int 7^{3 x} d x

Simplify

7^{3 x} : 34 3^{x}

= \int 34 3^{x} d x

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

= \frac{34 3 ^{x}}{ln ( 343 )}

Simplify

ln (343) : 3 ln (7)

= \frac{34 3 ^{x}}{3 ln ( 7 )}

Add a constant to the solution

= \frac{34 3 ^{x}}{3 ln ( 7 )} + C

Popular Examples

integral of (x+sqrt(x))^2

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

limit as x approaches 2 of e^x-1

x \to 2 lim (e^{x} - 1)

derivative of (cos(x)/(x^3))

\frac{d}{d x} (\frac{cos ( x )}{x ^{3}})

integral of (x+2y+3z)^2

\int (x + 2 y + 3 z)^{2} d x

integral of r^2-x^2

\int r^{2} - x^{2} d x

Frequently Asked Questions (FAQ)

What is the integral of 7^{3x} ?
The integral of 7^{3x} is (343^x)/(3ln(7))+C