What is the integral from 0 to 1 of x^{10}+10^x ?

The integral from 0 to 1 of x^{10}+10^x is 1/11+9/(ln(10))

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integral from 0 to 1 of x^{10}+10^x

\int_{0}^{1} x^{10} + 1 0^{x} d x

\frac{1}{11} + \frac{9}{ln ( 10 )}

Decimal

3.99955 \dots

Solution steps

\int_{0}^{1} x^{10} + 1 0^{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^{10} d x + \int_{0}^{1} 1 0^{x} d x

\int_{0}^{1} x^{10} d x = \frac{1}{11}

\int_{0}^{1} 1 0^{x} d x = \frac{9}{ln ( 10 )}

= \frac{1}{11} + \frac{9}{ln ( 10 )}

What is the integral from 0 to 1 of x^{10}+10^x ?
The integral from 0 to 1 of x^{10}+10^x is 1/11+9/(ln(10))