展开 (x^3+y^3)dx-(xy^2)dx

解答

展开

(x^{3} + y^{3}) d x - (x y^{2}) d x

x^{3} d x + y^{3} d x - x y^{2} d x

求解步骤

(x^{3} + y^{3}) d x - (x y^{2}) d x

乘开

d x (x^{3} + y^{3}) : x^{3} d x + y^{3} d x

= x^{3} d x + y^{3} d x - (x y^{2}) d x

去除括号:

(a) = a

= x^{3} d x + y^{3} d x - x y^{2} d x

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

e x p an d x (x cos (x) + 2 x sin (x))

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

e x p an d (1 + x)^{\frac{- 1}{5}}

e x p an d (x + y + z = 0,) (3 x - y + z = - 42)