Evaluate
-\frac{281322388820031}{16}=-1.75826493 \cdot 10^{13}
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\int x^{15}\mathrm{d}x
Evaluate the indefinite integral first.
\frac{x^{16}}{16}
Since \int x^{k}\mathrm{d}x=\frac{x^{k+1}}{k+1} for k\neq -1, replace \int x^{15}\mathrm{d}x with \frac{x^{16}}{16}.
\frac{5^{16}}{16}-\frac{\left(-8\right)^{16}}{16}
The definite integral is the antiderivative of the expression evaluated at the upper limit of integration minus the antiderivative evaluated at the lower limit of integration.
-\frac{281322388820031}{16}
Simplify.
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