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\int 150\mathrm{d}x
Evaluate the indefinite integral first.
150x
Find the integral of 150 using the table of common integrals rule \int a\mathrm{d}x=ax.
150\times 25-150\times 20
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.
750
Simplify.