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Popular >

integral of (5^x)

Solution

\int (5^{x}) d x

Solution

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

Solution steps

\int 5^{x} d x

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

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

Add a constant to the solution

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

Popular Examples

derivative of 5sin(y+3e^{2x})

\frac{d}{d x} (5 sin (y) + 3 e^{2 x})

y^'=(x^2+3y^2)/(2xy)

y^{^{'}} = \frac{x ^{2} + 3 y ^{2}}{2 x y}

derivative of t^3-27t derivative of

t^{3} - 27 t

integral of (x^2+16x-16)/(x^3-16x)

\int \frac{x ^{2} + 16 x - 16}{x ^{3} - 16 x} d x

integral of (x^3)/(8-x^4)

\int \frac{x ^{3}}{8 - x ^{4}} d x

Frequently Asked Questions (FAQ)

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