展开 (x^2y^3-1/(1-9x^2))dx+(x^3y^2)dy

解答

展开

(x^{2} y^{3} - \frac{1}{1 - 9 x ^{2}}) d x + (x^{3} y^{2}) d y

x^{2} y^{3} d x - \frac{d x}{1 - 9 x ^{2}} + x^{3} y^{2} d y

求解步骤

(x^{2} y^{3} - \frac{1}{1 - 9 x ^{2}}) d x + (x^{3} y^{2}) d y

乘开

d x (x^{2} y^{3} - \frac{1}{1 - 9 x ^{2}}) : x^{2} y^{3} d x - \frac{d x}{1 - 9 x ^{2}}

= x^{2} y^{3} d x - \frac{d x}{1 - 9 x ^{2}} + (x^{3} y^{2}) d y

去除括号:

(a) = a

= x^{2} y^{3} d x - \frac{d x}{1 - 9 x ^{2}} + x^{3} y^{2} d y

e x p an d \frac{3}{4} (x^{2} - 1) (x - 2) (x - e)

e x p an d \frac{x ^{4} + 1}{( x + 2 ) ^{2}}

e x p an d (2 x y + \frac{1}{ln ( 10 ) y})^{3}

e x p an d \frac{k}{s ( s + 1 )}

e x p an d (x + 2 y + 1) d x - (2 x + 4 y + 3) d y