What is 1/2 (x+1/4 sin(4x)) ?

The solution to 1/2 (x+1/4 sin(4x)) is (x+1/4 sin(4x))/2

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simplify 1/2 (x+1/4 sin(4x))

simplify

\frac{1}{2} (x + \frac{1}{4} sin (4 x))

\frac{x + \frac{1}{4} sin ( 4 x )}{2}

Solution steps

\frac{1}{2} (x + \frac{1}{4} sin (4 x))

Apply the fraction rule:

a \cdot \frac{b}{c} = \frac{a \cdot b}{c}

= \frac{1 \cdot ( x + \frac{1}{4} sin ( 4 x ) )}{2}

Apply rule:

1 \cdot a = a

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

= \frac{x + \frac{1}{4} sin ( 4 x )}{2}

\frac{2 ( - 4 x + 135 )}{15}

(1 + x^{2}) \frac{d ^{2}}{d x ^{2}} ((x + x^{2} + 1)^{k})

\frac{3 k + 2 l ^{2}}{k}

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

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

What is 1/2 (x+1/4 sin(4x)) ?
The solution to 1/2 (x+1/4 sin(4x)) is (x+1/4 sin(4x))/2