What is the integral from-2 to 2 of 36^{x/2} ?

The integral from-2 to 2 of 36^{x/2} is (1295)/(36ln(6))

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integral from-2 to 2 of 36^{x/2}

\int_{- 2}^{2} 3 6^{\frac{x}{2}} d x

\frac{1295}{36 ln ( 6 )}

Decimal

20.07647 \dots

Solution steps

\int_{- 2}^{2} 3 6^{\frac{x}{2}} d x

Simplify

3 6^{\frac{x}{2}} : 6^{x}

= \int_{- 2}^{2} 6^{x} d x

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

= [\frac{6 ^{x}}{ln ( 6 )}]_{- 2}^{2}

Compute the boundaries:

\frac{1295}{36 ln ( 6 )}

= \frac{1295}{36 ln ( 6 )}

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What is the integral from-2 to 2 of 36^{x/2} ?
The integral from-2 to 2 of 36^{x/2} is (1295)/(36ln(6))