展开 (x^3y+x^3y^2)dx+x^2ydy

解答

展开

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

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

求解步骤

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

乘开

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

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

e x p an d (- 36 sin^{3} (r) cos (t) + 6 cos^{2} (t)) d t

e x p an d \frac{s}{( s - 10 ) ( s ^{2} + 5 )}

e x p an d (x - 1) (ln (x - 1))

e x p an d (4 x - 8 + 8 x) (h (x) = 2 x - 1)

s im pl i f y (\frac{a}{x + 3} + \frac{b}{x - 2}) (x + 3) (x - 3)