What is expand (4xy+2xsin(y))dx+(2x^2+x^2cos(y))dy ?

The solution to expand (4xy+2xsin(y))dx+(2x^2+x^2cos(y))dy is 4xydx+2xsin(y)dx+2x^2dy+x^2cos(y)dy

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expand (4xy+2xsin(y))dx+(2x^2+x^2cos(y))dy

expand

(4 x y + 2 x sin (y)) d x + (2 x^{2} + x^{2} cos (y)) d y

4 x y d x + 2 x sin (y) d x + 2 x^{2} d y + x^{2} cos (y) d y

Solution steps

(4 x y + 2 x sin (y)) d x + (2 x^{2} + x^{2} cos (y)) d y

Expand

d x (4 x y + 2 x sin (y)) : 4 x y d x + 2 x sin (y) d x

= 4 x y d x + 2 x sin (y) d x + (2 x^{2} + x^{2} cos (y)) d y

Expand

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

= 4 x y d x + 2 x sin (y) d x + 2 x^{2} d y + x^{2} cos (y) d y

(x - π)^{3}

3 (5 + 2)

25 (sin^{2} (x) + 1)

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\frac{n ^{2} ( n + 3 ) ^{3}}{2}

What is expand (4xy+2xsin(y))dx+(2x^2+x^2cos(y))dy ?
The solution to expand (4xy+2xsin(y))dx+(2x^2+x^2cos(y))dy is 4xydx+2xsin(y)dx+2x^2dy+x^2cos(y)dy