What is the integral of (sin(x))/4 ?

The integral of (sin(x))/4 is -1/4 cos(x)+C

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integral of (sin(x))/4

integral

\frac{sin ( x )}{4}

- \frac{1}{4} cos (x) + C

Solution steps

\int \frac{sin ( x )}{4} d x

Take the constant out:

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

= \frac{1}{4} \cdot \int sin (x) d x

Use the common integral:

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

= \frac{1}{4} (- cos (x))

Simplify

= - \frac{1}{4} cos (x)

Add a constant to the solution

= - \frac{1}{4} cos (x) + C

\frac{x ^{2} a}{( 1 + a ^{2} x ^{2} )}

\frac{( x ^{3} )}{( x ^{2} + 2 x + 1 )}

1 + e^{x}

\frac{cos ^{2} ( x )}{( 1 + sin ^{2} ( x ) )}

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

What is the integral of (sin(x))/4 ?
The integral of (sin(x))/4 is -1/4 cos(x)+C