What is the integral from-1 to 1 of 14^x ?

The integral from-1 to 1 of 14^x is (195)/(14ln(14))

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integral from-1 to 1 of 14^x

\int_{- 1}^{1} 1 4^{x} d x

\frac{195}{14 ln ( 14 )}

Decimal Notation

5.27785 \dots

Solution steps

\int_{- 1}^{1} 1 4^{x} d x

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

= [\frac{1 4 ^{x}}{ln ( 14 )}]_{- 1}^{1}

Compute the boundaries:

\frac{195}{14 ln ( 14 )}

= \frac{195}{14 ln ( 14 )}

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What is the integral from-1 to 1 of 14^x ?
The integral from-1 to 1 of 14^x is (195)/(14ln(14))