Evaluate
5\cos(v^{3})
Differentiate w.r.t. v
-15v^{2}\sin(v^{3})
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\int \cos(v^{3})\mathrm{d}\theta
Evaluate the indefinite integral first.
\cos(v^{3})\theta
Find the integral of \cos(v^{3}) using the table of common integrals rule \int a\mathrm{d}\theta =a\theta .
5\cos(v^{3})+0\cos(v^{3})
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.
5\cos(v^{3})
Simplify.
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