Evaluate
\frac{11\left(e^{2}-1\right)}{2}\approx 35.139808544
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\int 11x\mathrm{d}x
Evaluate the indefinite integral first.
11\int x\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{11x^{2}}{2}
Since \int x^{k}\mathrm{d}x=\frac{x^{k+1}}{k+1} for k\neq -1, replace \int x\mathrm{d}x with \frac{x^{2}}{2}.
\frac{11}{2}e^{2}-\frac{11}{2}\times 1^{2}
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{11e^{2}-11}{2}
Simplify.
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