What is expand (x-y^3+y^2sin(x))dy ?

The solution to expand (x-y^3+y^2sin(x))dy is xdy-y^3dy+y^2sin(x)dy

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expand (x-y^3+y^2sin(x))dy

expand

(x - y^{3} + y^{2} sin (x)) d y

x d y - y^{3} d y + y^{2} sin (x) d y

Solution steps

(x - y^{3} + y^{2} sin (x)) d y

Distribute parentheses

= d y x + d y (- y^{3}) + d y y^{2} sin (x)

Apply minus-plus rules

+ (- a) = - a

= x d y - y^{3} d y + y^{2} sin (x) d y

lo g_{10} (\frac{2 x}{y})

\frac{sin ( 0 )}{5} + \frac{cos ( 0 )}{2}

- \frac{x ( x - 1 ) ( x - 2 )}{6}

\frac{4 x ^{4} + 13 x ^{2} - 4 x + 14}{( x - 1 ) ( x ^{2} + 2 ) ^{2}}

\frac{2}{( 4 x + 1 ) ^{3}}

What is expand (x-y^3+y^2sin(x))dy ?
The solution to expand (x-y^3+y^2sin(x))dy is xdy-y^3dy+y^2sin(x)dy