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Popular Calculus >

integral of (6/5)^x

Solution

\int (\frac{6}{5})^{x} d x

Solution

\frac{6 ^{x}}{ln ( \frac{6}{5} ) \cdot 5 ^{x}} + C

Solution steps

\int (\frac{6}{5})^{x} d x

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

= \frac{( \frac{6}{5} ) ^{x}}{ln ( \frac{6}{5} )}

Simplify

\frac{( \frac{6}{5} ) ^{x}}{ln ( \frac{6}{5} )} : \frac{6 ^{x}}{ln ( \frac{6}{5} ) \cdot 5 ^{x}}

= \frac{6 ^{x}}{ln ( \frac{6}{5} ) \cdot 5 ^{x}}

Add a constant to the solution

= \frac{6 ^{x}}{ln ( \frac{6}{5} ) \cdot 5 ^{x}} + C

Graph

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Frequently Asked Questions (FAQ)

What is the integral of (6/5)^x ?
The integral of (6/5)^x is (6^x)/(ln(6/5)*5^x)+C