en

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular Calculus >

integral of (7/6)^x

Solution

\int (\frac{7}{6})^{x} d x

Solution

\frac{7 ^{x}}{ln ( \frac{7}{6} ) \cdot 6 ^{x}} + C

Solution steps

\int (\frac{7}{6})^{x} d x

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

= \frac{( \frac{7}{6} ) ^{x}}{ln ( \frac{7}{6} )}

Simplify

\frac{( \frac{7}{6} ) ^{x}}{ln ( \frac{7}{6} )} : \frac{7 ^{x}}{ln ( \frac{7}{6} ) \cdot 6 ^{x}}

= \frac{7 ^{x}}{ln ( \frac{7}{6} ) \cdot 6 ^{x}}

Add a constant to the solution

= \frac{7 ^{x}}{ln ( \frac{7}{6} ) \cdot 6 ^{x}} + C

Graph

Popular Examples

integral of ((4sin(sqrt(x))))/(sqrt(x))

\int \frac{( 4 sin ( x ) )}{x} d x

integral of 3x^2-2x+7

\int 3 x^{2} - 2 x + 7 d x

integral of e^{tan(31x)}sec^2(31x)

\int e^{t a n (31 x)} sec^{2} (31 x) d x

integral of 2/5 x^{5/3}

\int \frac{2}{5} x^{\frac{5}{3}} d x

integral of 1/2 x^{-1}

\int \frac{1}{2} x^{- 1} d x

Frequently Asked Questions (FAQ)

What is the integral of (7/6)^x ?
The integral of (7/6)^x is (7^x)/(ln(7/6)*6^x)+C