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7800
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\int 26\mathrm{d}x
Evaluate the indefinite integral first.
26\int 1\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.
x
Since \int x^{k}\mathrm{d}x=\frac{x^{k+1}}{k+1} for k\neq -1, replace \int 1\mathrm{d}x with x.
26x
Simplify.
26\times 1500-26\times 1200
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.
7800
Simplify.
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