Evaluate
\frac{b-a}{2}
Differentiate w.r.t. a
-\frac{1}{2} = -0.5
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\int \frac{1}{2}\mathrm{d}x
Evaluate the indefinite integral first.
\frac{x}{2}
Find the integral of \frac{1}{2} using the table of common integrals rule \int a\mathrm{d}x=ax.
\frac{b}{2}-\frac{a}{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{b-a}{2}
Simplify.
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