展开 xydy-(x^2+2y^2)dx

解答

展开

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

x y d y - x^{2} d x - 2 y^{2} d x

求解步骤

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

乘开

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

= x y d y - x^{2} d x - 2 y^{2} d x

e x p an d \frac{5 X ^{2} ( X ^{2} - 6 X + 2 )}{4}

e x p an d c^{2} (Δ x + c)^{2}

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

e x p an d lo g_{e} (1 - x)

e x p an d 5.8 sin (\frac{π}{6} (x - 2)) + 9.2