Evaluate
\frac{3888}{5}=777.6
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\int 16x^{4}\mathrm{d}x
Evaluate the indefinite integral first.
16\int x^{4}\mathrm{d}x
Factor out the constant using \int af\left(x\right)\mathrm{d}x=a\int f\left(x\right)\mathrm{d}x.
\frac{16x^{5}}{5}
Since \int x^{k}\mathrm{d}x=\frac{x^{k+1}}{k+1} for k\neq -1, replace \int x^{4}\mathrm{d}x with \frac{x^{5}}{5}.
\frac{16}{5}\times 3^{5}-\frac{16}{5}\times 0^{5}
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{3888}{5}
Simplify.
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