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Popular Calculus >

integral of 5^{9x}

Solution

\int 5^{9 x} d x

Solution

\frac{195312 5 ^{x}}{9 ln ( 5 )} + C

Solution steps

\int 5^{9 x} d x

Simplify

5^{9 x} : 195312 5^{x}

= \int 195312 5^{x} d x

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

= \frac{195312 5 ^{x}}{ln ( 1953125 )}

Simplify

ln (1953125) : 9 ln (5)

= \frac{195312 5 ^{x}}{9 ln ( 5 )}

Add a constant to the solution

= \frac{195312 5 ^{x}}{9 ln ( 5 )} + C

Graph

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\int \frac{12 t ^{8} - t}{t ^{3}} d t

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\int \frac{1}{( 1 - t ^{2} ) ^{\frac{3}{2}}} d t

Frequently Asked Questions (FAQ)

What is the integral of 5^{9x} ?
The integral of 5^{9x} is (1953125^x)/(9ln(5))+C