What is the integral of (2sin(x))/5 ?

The integral of (2sin(x))/5 is -2/5 cos(x)+C

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integral of (2sin(x))/5

\int \frac{2 sin ( x )}{5} d x

- \frac{2}{5} cos (x) + C

Solution steps

\int \frac{2 sin ( x )}{5} d x

Take the constant out:

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

= \frac{2}{5} \cdot \int sin (x) d x

Use the common integral:

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

= \frac{2}{5} (- cos (x))

Simplify

= - \frac{2}{5} cos (x)

Add a constant to the solution

= - \frac{2}{5} cos (x) + C

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What is the integral of (2sin(x))/5 ?
The integral of (2sin(x))/5 is -2/5 cos(x)+C