What is the integral from-1 to 1 of 5^x ?

The integral from-1 to 1 of 5^x is (24)/(5ln(5))

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integral from-1 to 1 of 5^x

\int_{- 1}^{1} 5^{x} d x

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

Decimal

2.98240 \dots

Solution steps

\int_{- 1}^{1} 5^{x} d x

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

= [\frac{5 ^{x}}{ln ( 5 )}]_{- 1}^{1}

Compute the boundaries:

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

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

What is the integral from-1 to 1 of 5^x ?
The integral from-1 to 1 of 5^x is (24)/(5ln(5))