What is expand (2xye^{xy}-3y^2)dy ?

The solution to expand (2xye^{xy}-3y^2)dy is 2e^{xy}xydy-3y^2dy

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expand (2xye^{xy}-3y^2)dy

expand

(2 x y e^{x y} - 3 y^{2}) d y

2 e^{x y} x y d y - 3 y^{2} d y

Solution steps

(2 x y e^{x y} - 3 y^{2}) d y

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

Apply the distributive law:

a (b - c) = ab - a c

a = d y, b = 2 x y e^{x y}, c = 3 y^{2}

= d y \cdot 2 x y e^{x y} - d y \cdot 3 y^{2}

= 2 e^{x y} x y d y - 3 y^{2} d y

(15 + 85 e^{- 0.12 (x)}) 300 \cdot 1.1 2^{x}

(3 sin (x) + 2 cos (x))^{2} + (2 sin (x) - 3 cos (x))

\frac{1}{4} (cos (3 x) + 3 cos (x))

- (t - 3)^{2} e^{t - 3}

\frac{x + y}{( x - 1 ) ( x - 2 )}

What is expand (2xye^{xy}-3y^2)dy ?
The solution to expand (2xye^{xy}-3y^2)dy is 2e^{xy}xydy-3y^2dy