What is the integral of 2/3 sin(x) ?

The integral of 2/3 sin(x) is -2/3 cos(x)+C

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integral of 2/3 sin(x)

\int \frac{2}{3} sin (x) d x

- \frac{2}{3} cos (x) + C

Solution steps

\int \frac{2}{3} sin (x) d x

Take the constant out:

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

= \frac{2}{3} \cdot \int sin (x) d x

Use the common integral:

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

= \frac{2}{3} (- cos (x))

Simplify

= - \frac{2}{3} cos (x)

Add a constant to the solution

= - \frac{2}{3} cos (x) + C

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What is the integral of 2/3 sin(x) ?
The integral of 2/3 sin(x) is -2/3 cos(x)+C