What is expand 1/32 (12x+8sin(2x)+sin(4x))+C ?

The solution to expand 1/32 (12x+8sin(2x)+sin(4x))+C is (3x)/8+(sin(2x))/4+(sin(4x))/(32)+C

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expand 1/32 (12x+8sin(2x)+sin(4x))+C

expand

\frac{1}{32} (12 x + 8 sin (2 x) + sin (4 x)) + C

\frac{3 x}{8} + \frac{sin ( 2 x )}{4} + \frac{sin ( 4 x )}{32} + C

Solution steps

\frac{1}{32} (12 x + 8 sin (2 x) + sin (4 x)) + C

Apply the distributive law:

m (a + b + c) = ma + mb + m c

\frac{1}{32} (12 x + 8 sin (2 x) + sin (4 x)) = \frac{1}{32} \cdot 12 x + \frac{1}{32} \cdot 8 sin (2 x) + \frac{1}{32} sin (4 x)

= \frac{1}{32} \cdot 12 x + \frac{1}{32} \cdot 8 sin (2 x) + \frac{1}{32} sin (4 x) + C

Simplify

\frac{1}{32} \cdot 12 x + \frac{1}{32} \cdot 8 sin (2 x) + \frac{1}{32} sin (4 x) : \frac{3 x}{8} + \frac{sin ( 2 x )}{4} + \frac{sin ( 4 x )}{32}

= \frac{3 x}{8} + \frac{sin ( 2 x )}{4} + \frac{sin ( 4 x )}{32} + C

\frac{1}{3} (12 d + e)

2 (x - i y)^{2}

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

(a + bi)^{3}

35 (22 + 33 + 47)

What is expand 1/32 (12x+8sin(2x)+sin(4x))+C ?
The solution to expand 1/32 (12x+8sin(2x)+sin(4x))+C is (3x)/8+(sin(2x))/4+(sin(4x))/(32)+C