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

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

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integral of-2cos(x)

\int - 2 cos (x) d x

- 2 sin (x) + C

Solution steps

\int - 2 cos (x) d x

Take the constant out:

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

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

Use the common integral:

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

= - 2 sin (x)

Add a constant to the solution

= - 2 sin (x) + C

\int_{1}^{6} x - 1 d x

y = (13 x^{2} - 26 x + 26) e^{- 8 x}

\int 36 - x^{2} d x

\frac{d}{d x} (\frac{( x + 2 )}{2 - x})

y^{^{''}} + 4 y = 12 sin (2 t)