What is the integral from 0 to 3 of 5^x ?

The integral from 0 to 3 of 5^x is (124)/(ln(5))

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integral from 0 to 3 of 5^x

\int_{0}^{3} 5^{x} d x

\frac{124}{ln ( 5 )}

Decimal

77.04553 \dots

Solution steps

\int_{0}^{3} 5^{x} d x

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

= [\frac{5 ^{x}}{ln ( 5 )}]_{0}^{3}

Compute the boundaries:

\frac{124}{ln ( 5 )}

= \frac{124}{ln ( 5 )}

What is the integral from 0 to 3 of 5^x ?
The integral from 0 to 3 of 5^x is (124)/(ln(5))