What is the integral from-2 to 3 of 2^x ?

The integral from-2 to 3 of 2^x is (31)/(4ln(2))

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integral from-2 to 3 of 2^x

\int_{- 2}^{3} 2^{x} d x

\frac{31}{4 ln ( 2 )}

Decimal Notation

11.18088 \dots

Solution steps

\int_{- 2}^{3} 2^{x} d x

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

= [\frac{2 ^{x}}{ln ( 2 )}]_{- 2}^{3}

Compute the boundaries:

\frac{31}{4 ln ( 2 )}

= \frac{31}{4 ln ( 2 )}

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What is the integral from-2 to 3 of 2^x ?
The integral from-2 to 3 of 2^x is (31)/(4ln(2))