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\int \cos(x)\mathrm{d}x
Evaluate the indefinite integral first.
\sin(x)
Use \int \cos(x)\mathrm{d}x=\sin(x) from the table of common integrals to obtain the result.
\sin(\pi )-\sin(1)
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.
-\sin(1)
Simplify.