Evaluate
12\cos(2cx_{1})
Differentiate w.r.t. x_1
-24c\sin(2cx_{1})
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\int \cos(2x_{1}c)\mathrm{d}x
Evaluate the indefinite integral first.
\cos(2x_{1}c)x
Find the integral of \cos(2x_{1}c) using the table of common integrals rule \int a\mathrm{d}x=ax.
12\cos(2x_{1}c)+0\cos(2x_{1}c)
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.
12\cos(2x_{1}c)
Simplify.
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