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Popular >

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

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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