展开 (xsqrt(x)+x^2+y^2)dx+2ysqrt(x)dy

解答

展开

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

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

求解步骤

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

乘开

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

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

e x p an d (1 + y^{2} + x y) d x + (x^{2} y + y + 2 x y) d y

e x p an d (- 5)^{3}

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

e x p an d (1 - e^{- ab c})^{2}

e x p an d 2 (x - 3) \cdot lo g_{10} (x - 3) - 3