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

The integral of (sin(x))/2 is -1/2 cos(x)+C

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integral of (sin(x))/2

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

- \frac{1}{2} cos (x) + C

Solution steps

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

Take the constant out:

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

= \frac{1}{2} \cdot \int sin (x) d x

Use the common integral:

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

= \frac{1}{2} (- cos (x))

Simplify

= - \frac{1}{2} cos (x)

Add a constant to the solution

= - \frac{1}{2} cos (x) + C

\frac{d}{d x} (sin (y) - y sin (x))

\int sec^{5} (2 x) tan (2 x) d x

x \to 1 + lim (\frac{6}{x - 1})

\int \frac{1}{9} e^{3 x} d x

\frac{d}{d x} (26 x - x^{2})

What is the integral of (sin(x))/2 ?
The integral of (sin(x))/2 is -1/2 cos(x)+C