What is the integral from 6 to 7 of 3^x ?

The integral from 6 to 7 of 3^x is (1458)/(ln(3))

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integral from 6 to 7 of 3^x

\int_{6}^{7} 3^{x} d x

\frac{1458}{ln ( 3 )}

Decimal

1327.12879 \dots

Solution steps

\int_{6}^{7} 3^{x} d x

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

= [\frac{3 ^{x}}{ln ( 3 )}]_{6}^{7}

Compute the boundaries:

\frac{1458}{ln ( 3 )}

= \frac{1458}{ln ( 3 )}

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What is the integral from 6 to 7 of 3^x ?
The integral from 6 to 7 of 3^x is (1458)/(ln(3))