What is expand (xy^2-x)dx+(x^2y+y)dy ?

The solution to expand (xy^2-x)dx+(x^2y+y)dy is xy^2dx-xdx+x^2ydy+ydy

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expand (xy^2-x)dx+(x^2y+y)dy

expand

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

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

Solution steps

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

Expand

d x (x y^{2} - x) : x y^{2} d x - x d x

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

Expand

d y (x^{2} y + y) : x^{2} y d y + y d y

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

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

\frac{1}{( x ^{2} + a ^{2} ) ( x ^{2} + b ^{2} )}

(2 + π) 120

((3 t)^{2}, 3 (4 - 4 t)) \cdot (3, - 4)

G (0, - 3) yH (- 6, 0)

What is expand (xy^2-x)dx+(x^2y+y)dy ?
The solution to expand (xy^2-x)dx+(x^2y+y)dy is xy^2dx-xdx+x^2ydy+ydy