What is expand xydx+e^{-x^2}(y^2-1) ?

The solution to expand xydx+e^{-x^2}(y^2-1) is xydx+e^{-x^2}y^2-e^{-x^2}

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expand xydx+e^{-x^2}(y^2-1)

expand

x y d x + e^{- x^{2}} (y^{2} - 1)

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

Solution steps

x y d x + e^{- x^{2}} (y^{2} - 1)

Expand

e^{- x^{2}} (y^{2} - 1) : e^{- x^{2}} y^{2} - e^{- x^{2}}

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

\frac{1}{( s + 3 ) ( s + 4 )}

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

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

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

\frac{( A + B ) x + 3 A}{x ( x + 3 )}

What is expand xydx+e^{-x^2}(y^2-1) ?
The solution to expand xydx+e^{-x^2}(y^2-1) is xydx+e^{-x^2}y^2-e^{-x^2}