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

integral

\frac{sin ( x )}{2}

- \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{1}{( x ^{4} + 1 )}

2 x + 3

ln (1 + x)

\frac{1}{( 1 + x ) ^{3}}

3 t + 4

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