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\int \frac{1}{200}\mathrm{d}r
Evaluate the indefinite integral first.
\frac{r}{200}
Find the integral of \frac{1}{200} using the table of common integrals rule \int a\mathrm{d}r=ar.
\frac{1}{200}\times 1050-\frac{1}{200}\times 950
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{1}{2}
Simplify.