Solve ∫ sin(y) wrt y

$$\int{ \sin ( y ) }d y$$

Evaluate

$$-\cos(y)+С$$

Solution Steps

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

$$-\cos(y)$$

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

$$-\cos(y)+С$$

Differentiate w.r.t. y

$$\sin(y)$$