What is expand (10xy^3+12x^3+6)dx+(15x^2y-5)ydy ?

The solution to expand (10xy^3+12x^3+6)dx+(15x^2y-5)ydy is 10xy^3dx+12x^3dx+6dx+15x^2y^2dy-5ydy

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expand (10xy^3+12x^3+6)dx+(15x^2y-5)ydy

expand

(10 x y^{3} + 12 x^{3} + 6) d x + (15 x^{2} y - 5) y d y

10 x y^{3} d x + 12 x^{3} d x + 6 d x + 15 x^{2} y^{2} d y - 5 y d y

Solution steps

(10 x y^{3} + 12 x^{3} + 6) d x + (15 x^{2} y - 5) y d y

= (10 x y^{3} + 12 x^{3} + 6) d x + y (15 x^{2} y - 5) d y

Expand

d x (10 x y^{3} + 12 x^{3} + 6) : 10 x y^{3} d x + 12 x^{3} d x + 6 d x

= 10 x y^{3} d x + 12 x^{3} d x + 6 d x + (15 x^{2} y - 5) y d y

Expand

y d y (15 x^{2} y - 5) : 15 x^{2} y^{2} d y - 5 y d y

= 10 x y^{3} d x + 12 x^{3} d x + 6 d x + 15 x^{2} y^{2} d y - 5 y d y

\frac{4 s}{( x + 2 ) ( x - 1 )}

\frac{38 x y}{( x ^{2} + y ^{2} + 1 ) ^{2}}

e^{- 2 t} (- sin (4) 4) + cos (4 t) (e^{- 2 t} - 2 t)

\frac{d ^{3}}{d x ^{3}} ((y) (3 x^{3} + 6 x^{2} - 4 x))

\frac{2}{5 ( 10 s ^{2} + 7 s + 1 )}

What is expand (10xy^3+12x^3+6)dx+(15x^2y-5)ydy ?
The solution to expand (10xy^3+12x^3+6)dx+(15x^2y-5)ydy is 10xy^3dx+12x^3dx+6dx+15x^2y^2dy-5ydy