What is the integral of (2sin(x)) ?

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

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integral of (2sin(x))

\int (2 sin (x)) d x

- 2 cos (x) + C

Solution steps

\int 2 sin (x) d x

Take the constant out:

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

= 2 \cdot \int sin (x) d x

Use the common integral:

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

= 2 (- cos (x))

Simplify

= - 2 cos (x)

Add a constant to the solution

= - 2 cos (x) + C

\frac{\partial}{\partial x} (e^{x} (x^{2} - y^{2}))

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

\frac{d}{d x} (sin (x) + x^{2})

\frac{\partial}{\partial y} (x e^{y^{2}})