What is the integral of-2cos(y) ?

The integral of-2cos(y) is -2sin(y)+C

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integral of-2cos(y)

\int - 2 cos (y) d y

- 2 sin (y) + C

Solution steps

\int - 2 cos (y) d y

Take the constant out:

\int a \cdot f (x) d x = a \cdot \int f (x) d x

= - 2 \cdot \int cos (y) d y

Use the common integral:

\int cos (y) d y = sin (y)

= - 2 sin (y)

Add a constant to the solution

= - 2 sin (y) + C

\frac{1}{( 1 - x )}

\int x x^{2} d x

\int - 2 e^{- x^{2}} d x

\int ln^{2} (\frac{x}{3}) d x

\int \frac{4 x}{1 - x} d x