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 Notation

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 )}

x \to 0 - lim (\frac{1}{x ^{2}})

\int \frac{1}{( 196 - x ^{2} ) ^{\frac{3}{2}}} d x

\int \frac{5 x - 12}{x ( x - 4 )} d x

\int \frac{( ln ( x ) ) ^{6}}{x} d x

t \cdot e^{- 4 t} cos (5 t)

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