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Popular >

integral of 6^{5x}

Solution

\int 6^{5 x} d x

Solution

\frac{777 6 ^{x}}{5 ln ( 6 )} + C

Solution steps

\int 6^{5 x} d x

Simplify

6^{5 x} : 777 6^{x}

= \int 777 6^{x} d x

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

= \frac{777 6 ^{x}}{ln ( 7776 )}

Simplify

ln (7776) : 5 ln (6)

= \frac{777 6 ^{x}}{5 ln ( 6 )}

Add a constant to the solution

= \frac{777 6 ^{x}}{5 ln ( 6 )} + C

Graph

Popular Examples

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x \to 0 lim (\frac{3}{x ^{6}})

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\int 2 ln (x^{2} - 1) d x

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\int_{- 3}^{3} \frac{10}{x ^{2} - 2 x - 24} d x

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\frac{d}{d x} (2 x^{3} - 3 x^{2} + 2)

integral of 1/(x(x-0.5))

\int \frac{1}{x ( x - 0.5 )} d x

Frequently Asked Questions (FAQ)

What is the integral of 6^{5x} ?
The integral of 6^{5x} is (7776^x)/(5ln(6))+C