展开 x(9\sqrt[3]{x}+4\sqrt[4]{x})dx

解答

展开

x (9 3 x + 4 4 x) d x

9 x 3 x d x + 4 x 4 x d x

求解步骤

x (9 3 x + 4 4 x) d x

使用分配律:

a (b + c) = ab + a c

a = x d x, b = 9 3 x, c = 4 4 x

= x d x \cdot 9 3 x + x d x \cdot 4 4 x

= 9 x 3 x d x + 4 x 4 x d x

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

e x p an d 3 (2 + 23)

e x p an d \frac{- z + 2 a z ^{2} - z a ^{2}}{( z - a ) ( a z - 1 )}

s im pl i f y (6) (x + \frac{7}{3}) (6 x - 9)

e x p an d (2 x^{\frac{2}{5}} + 3 y^{\frac{1}{4}}) (2 x^{\frac{2}{5}} - 3 y^{\frac{1}{4}})