What is the integral of 10^x2^{3x} ?

The integral of 10^x2^{3x} is (80^x)/(ln(80))+C

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integral of 10^x2^{3x}

\int 1 0^{x} 2^{3 x} d x

\frac{8 0 ^{x}}{ln ( 80 )} + C

Solution steps

\int 1 0^{x} \cdot 2^{3 x} d x

Simplify

1 0^{x} \cdot 2^{3 x} : 8 0^{x}

= \int 8 0^{x} d x

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

= \frac{8 0 ^{x}}{ln ( 80 )}

Add a constant to the solution

= \frac{8 0 ^{x}}{ln ( 80 )} + C

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What is the integral of 10^x2^{3x} ?
The integral of 10^x2^{3x} is (80^x)/(ln(80))+C