What is expand (2+2/x)sin(x+ln(x)) ?

The solution to expand (2+2/x)sin(x+ln(x)) is 2sin(x+ln(x))+(2sin(x+ln(x)))/x

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expand (2+2/x)sin(x+ln(x))

expand

(2 + \frac{2}{x}) sin (x + ln (x))

2 sin (x + ln (x)) + \frac{2 sin ( x + ln ( x ) )}{x}

Solution steps

(2 + \frac{2}{x}) sin (x + ln (x))

= sin (x + ln (x)) (2 + \frac{2}{x})

Apply the distributive law:

a (b + c) = ab + a c

a = sin (x + ln (x)), b = 2, c = \frac{2}{x}

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

= 2 sin (x + ln (x)) + \frac{2}{x} sin (x + ln (x))

Multiply

\frac{2}{x} sin (x + ln (x)) : \frac{2 sin ( x + ln ( x ) )}{x}

= 2 sin (x + ln (x)) + \frac{2 sin ( x + ln ( x ) )}{x}

\frac{5 x}{( x - 2 ) ^{2}}

x (cos (y) + x) d y

\frac{x ( 1 + x ) ^{9}}{( 1 - x ) ^{2}}

2 (3 x + 6 = 10)

(2 x + 4 y = 168) \cdot (- 2)

What is expand (2+2/x)sin(x+ln(x)) ?
The solution to expand (2+2/x)sin(x+ln(x)) is 2sin(x+ln(x))+(2sin(x+ln(x)))/x