What is the integral of 10^x) ?

The integral of 10^x) is (10^xd)/(ln(10))+C

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integral of 10^x)

\int d (1 0^{x}) d x

\frac{1 0 ^{x} d}{ln ( 10 )} + C

Solution steps

\int d \cdot 1 0^{x} d x

Take the constant out:

\int a \cdot f (x) d x = a \cdot \int f (x) d x

= d \cdot \int 1 0^{x} d x

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

= d \frac{1 0 ^{x}}{ln ( 10 )}

Multiply fractions:

a \cdot \frac{b}{c} = \frac{a \cdot b}{c}

= \frac{1 0 ^{x} d}{ln ( 10 )}

Add a constant to the solution

= \frac{1 0 ^{x} d}{ln ( 10 )} + C

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