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Popular >

integral of 5^{7x}

Solution

\int 5^{7 x} d x

Solution

\frac{7812 5 ^{x}}{7 ln ( 5 )} + C

Solution steps

\int 5^{7 x} d x

Simplify

5^{7 x} : 7812 5^{x}

= \int 7812 5^{x} d x

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

= \frac{7812 5 ^{x}}{ln ( 78125 )}

Simplify

ln (78125) : 7 ln (5)

= \frac{7812 5 ^{x}}{7 ln ( 5 )}

Add a constant to the solution

= \frac{7812 5 ^{x}}{7 ln ( 5 )} + C

Graph

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integral of (9x^2+6x+3)/(x^3+x^2+x+1)

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Frequently Asked Questions (FAQ)

What is the integral of 5^{7x} ?
The integral of 5^{7x} is (78125^x)/(7ln(5))+C