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 )}

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 )}

x^{2} y^{^{''}} - x y^{^{'}} + y = x

x \to 9 - lim (x^{2} - 3 x)

\int \frac{( ln ( x ) ) ^{\frac{7}{2}}}{x} d x

\int_{- \infty}^{2} e^{x} d x

x \to 2 lim (x^{3} + x^{2} + x)

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))