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

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

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

expand

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

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

Solution steps

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

Expand

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

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

Expand

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

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

(2 - 2 cos (x))^{2}

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

(5 x - 2) (5 x + 2)

(x - 1 + 6) (x - 1 - 6)

(3 t - 1)^{3} d x

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