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

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