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\int \cos(\pi )\mathrm{d}x
Evaluate the indefinite integral first.
\cos(\pi )x
Find the integral of \cos(\pi ) using the table of common integrals rule \int a\mathrm{d}x=ax.
-x
Simplify.
-\pi +0
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.
-\pi
Simplify.