展开-x(ln(x)+y^2*ln(y))dy

解答

展开

- x (ln (x) + y^{2} \cdot ln (y)) d y

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

求解步骤

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

使用分配律:

a (b + c) = ab + a c

a = - x d y, b = ln (x), c = y^{2} ln (y)

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

使用加减运算法则

+ (- a) = - a

= - x ln (x) d y - x y^{2} ln (y) d y

s im pl i f y 4 (x - \frac{3}{2})

e x p an d 4 (4 e^{2 x^{2}} x^{2} + e^{2 x^{2}})

e x p an d (a, 2 b - 10, 5 c - 13) (15 - a, 2 d - 1, 11 - c)

s im pl i f y (x - 3) (x - 4 i)^{2}

s im pl i f y (y + 6)^{2}