Evaluate
\frac{896}{3}\approx 298.666666667
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\int 28x^{5}\mathrm{d}x
Evaluate the indefinite integral first.
28\int x^{5}\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{14x^{6}}{3}
Since \int x^{k}\mathrm{d}x=\frac{x^{k+1}}{k+1} for k\neq -1, replace \int x^{5}\mathrm{d}x with \frac{x^{6}}{6}. Multiply 28 times \frac{x^{6}}{6}.
\frac{14}{3}\times 2^{6}-\frac{14}{3}\times 0^{6}
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{896}{3}
Simplify.
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