What is the integral from 0 to 4 of 2^s ?

The integral from 0 to 4 of 2^s is (15)/(ln(2))

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integral from 0 to 4 of 2^s

\int_{0}^{4} 2^{s} d s

\frac{15}{ln ( 2 )}

Decimal

21.64042 \dots

Solution steps

\int_{0}^{4} 2^{s} d s

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

= [\frac{2 ^{s}}{ln ( 2 )}]_{0}^{4}

Compute the boundaries:

\frac{15}{ln ( 2 )}

= \frac{15}{ln ( 2 )}

What is the integral from 0 to 4 of 2^s ?
The integral from 0 to 4 of 2^s is (15)/(ln(2))