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

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

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integral of (cos(x))/2

integral

\frac{cos ( x )}{2}

\frac{1}{2} sin (x) + C

Solution steps

\int \frac{cos ( 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 cos (x) d x

Use the common integral:

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

= \frac{1}{2} sin (x)

Add a constant to the solution

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

sin (2 x - y)

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

\frac{( x + 7 )}{( x ^{2} - 6 x + 34 )}

(1 - x)^{n}

\frac{1}{2 sin ( 2 x )}