Evaluate

\sin(x)+С

$sin(x)+С$

Differentiate w.r.t. x

\cos(x)

$cos(x)$

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\sin(x)

Use \int \cos(x)\mathrm{d}x=\sin(x) from the table of common integrals to obtain the result.

\sin(x)+С

If F\left(x\right) is an antiderivative of f\left(x\right), then the set of all antiderivatives of f\left(x\right) is given by F\left(x\right)+C. Therefore, add the constant of integration C\in \mathrm{R} to the result.