What is the integral from 0 to 2 of 5^s ?

The integral from 0 to 2 of 5^s is (24)/(ln(5))

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integral from 0 to 2 of 5^s

\int_{0}^{2} 5^{s} d s

\frac{24}{ln ( 5 )}

Decimal Notation

14.91203 \dots

Solution steps

\int_{0}^{2} 5^{s} d s

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

= [\frac{5 ^{s}}{ln ( 5 )}]_{0}^{2}

Compute the boundaries:

\frac{24}{ln ( 5 )}

= \frac{24}{ln ( 5 )}

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What is the integral from 0 to 2 of 5^s ?
The integral from 0 to 2 of 5^s is (24)/(ln(5))