What is expand ((sin(2x))/y+x)dy ?

The solution to expand ((sin(2x))/y+x)dy is (sin(2x)dy)/y+xdy

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expand ((sin(2x))/y+x)dy

expand

(\frac{sin ( 2 x )}{y} + x) d y

\frac{sin ( 2 x ) d y}{y} + x d y

Solution steps

(\frac{sin ( 2 x )}{y} + x) d y

Apply the distributive law:

a (b + c) = ab + a c

a = d y, b = \frac{sin ( 2 x )}{y}, c = x

= d y \frac{sin ( 2 x )}{y} + d y x

= \frac{sin ( 2 x )}{y} d y + x d y

Multiply

\frac{sin ( 2 x )}{y} d y : \frac{sin ( 2 x ) d y}{y}

= \frac{sin ( 2 x ) d y}{y} + x d y

e^{x (ik - a)} + e^{x (- ik - a)}

(4 x - 3) d x

\frac{d x}{( 7 x + 13 ) ^{2}}

4 t - 2 + 5 t + 6

1 + (e^{x} + 3 x^{2})^{2}

What is expand ((sin(2x))/y+x)dy ?
The solution to expand ((sin(2x))/y+x)dy is (sin(2x)dy)/y+xdy