What is the integral from 0 to 1 of x^{15}+15^x ?

The integral from 0 to 1 of x^{15}+15^x is 1/16+(14)/(ln(15))

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integral from 0 to 1 of x^{15}+15^x

\int_{0}^{1} x^{15} + 1 5^{x} d x

\frac{1}{16} + \frac{14}{ln ( 15 )}

Decimal

5.23227 \dots

Solution steps

\int_{0}^{1} x^{15} + 1 5^{x} d x

Apply the Sum Rule:

\int f (x) \pm g (x) d x = \int f (x) d x \pm \int g (x) d x

= \int_{0}^{1} x^{15} d x + \int_{0}^{1} 1 5^{x} d x

\int_{0}^{1} x^{15} d x = \frac{1}{16}

\int_{0}^{1} 1 5^{x} d x = \frac{14}{ln ( 15 )}

= \frac{1}{16} + \frac{14}{ln ( 15 )}

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What is the integral from 0 to 1 of x^{15}+15^x ?
The integral from 0 to 1 of x^{15}+15^x is 1/16+(14)/(ln(15))