What is expand xsin(y)dy+(x^3-2x^2cos(y)+cos(y))dx ?

The solution to expand xsin(y)dy+(x^3-2x^2cos(y)+cos(y))dx is xsin(y)dy+x^3dx-2x^2cos(y)dx+cos(y)dx

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expand xsin(y)dy+(x^3-2x^2cos(y)+cos(y))dx

expand

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

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

Solution steps

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

Expand

d x (x^{3} - 2 x^{2} cos (y) + cos (y)) : x^{3} d x - 2 x^{2} cos (y) d x + cos (y) d x

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

(1 + x) cos (x)

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

(x + c)^{2} + y^{2}

\frac{x ( 18 - x ) ( 36 - x )}{6}

- 30 t + 780 (1 - e^{- \frac{t}{3}})

What is expand xsin(y)dy+(x^3-2x^2cos(y)+cos(y))dx ?
The solution to expand xsin(y)dy+(x^3-2x^2cos(y)+cos(y))dx is xsin(y)dy+x^3dx-2x^2cos(y)dx+cos(y)dx