Evaluate
\frac{\pi \cos(3t)}{4}
Differentiate w.r.t. t
-\frac{3\pi \sin(3t)}{4}
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\int \cos(3t)\mathrm{d}r
Evaluate the indefinite integral first.
\cos(3t)r
Find the integral of \cos(3t) using the table of common integrals rule \int a\mathrm{d}r=ar.
\frac{1}{2}\cos(3t)\pi -\frac{1}{4}\cos(3t)\pi
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{\cos(3t)\pi }{4}
Simplify.
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