What is expand x(x^6+1)dx+y^2(x^4+1)dy ?

The solution to expand x(x^6+1)dx+y^2(x^4+1)dy is x^7dx+xdx+x^4y^2dy+y^2dy

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expand x(x^6+1)dx+y^2(x^4+1)dy

expand

x (x^{6} + 1) d x + y^{2} (x^{4} + 1) d y

x^{7} d x + x d x + x^{4} y^{2} d y + y^{2} d y

Solution steps

x (x^{6} + 1) d x + y^{2} (x^{4} + 1) d y

Expand

x d x (x^{6} + 1) : x^{7} d x + x d x

= x^{7} d x + x d x + y^{2} (x^{4} + 1) d y

Expand

y^{2} d y (x^{4} + 1) : x^{4} y^{2} d y + y^{2} d y

= x^{7} d x + x d x + x^{4} y^{2} d y + y^{2} d y

\frac{1}{4 ( x ^{2} + x + 3 ) ^{4}}

\frac{35}{6 d ^{2} ( 18 d ^{2} - 11 d + 1 )}

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

(6 x^{5} - 4 x^{3} + 2 x) d x

\frac{3 x + 7}{( x - 1 ) ( x - 2 )}

What is expand x(x^6+1)dx+y^2(x^4+1)dy ?
The solution to expand x(x^6+1)dx+y^2(x^4+1)dy is x^7dx+xdx+x^4y^2dy+y^2dy