What is the integral from-2 to 2 of 4^{x/2} ?

The integral from-2 to 2 of 4^{x/2} is (15)/(4ln(2))

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integral from-2 to 2 of 4^{x/2}

\int_{- 2}^{2} 4^{\frac{x}{2}} d x

\frac{15}{4 ln ( 2 )}

Solution steps

\int_{- 2}^{2} 4^{\frac{x}{2}} d x

Simplify

4^{\frac{x}{2}} : 2^{x}

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

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

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

Compute the boundaries:

\frac{15}{4 ln ( 2 )}

= \frac{15}{4 ln ( 2 )}

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What is the integral from-2 to 2 of 4^{x/2} ?
The integral from-2 to 2 of 4^{x/2} is (15)/(4ln(2))