Evaluate
-2\cos(t)+С
Differentiate w.r.t. t
2\sin(t)
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2\int \sin(t)\mathrm{d}t
Factor out the constant using \int af\left(t\right)\mathrm{d}t=a\int f\left(t\right)\mathrm{d}t.
-2\cos(t)
Use \int \sin(t)\mathrm{d}t=-\cos(t) from the table of common integrals to obtain the result.
-2\cos(t)+С
If F\left(t\right) is an antiderivative of f\left(t\right), then the set of all antiderivatives of f\left(t\right) is given by F\left(t\right)+C. Therefore, add the constant of integration C\in \mathrm{R} to the result.
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