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\int \frac{3x^{3}}{5}\mathrm{d}x
Evaluate the indefinite integral first.
\frac{3\int x^{3}\mathrm{d}x}{5}
Factor out the constant using \int af\left(x\right)\mathrm{d}x=a\int f\left(x\right)\mathrm{d}x.
\frac{3x^{4}}{20}
Since \int x^{k}\mathrm{d}x=\frac{x^{k+1}}{k+1} for k\neq -1, replace \int x^{3}\mathrm{d}x with \frac{x^{4}}{4}.
\frac{3}{20}\times 10^{4}-\frac{3}{20}\times 0^{4}
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.
1500
Simplify.
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