What is expand-x(ln(x)+y^2*ln(y))dy ?

The solution to expand-x(ln(x)+y^2*ln(y))dy is -xln(x)dy-xy^2ln(y)dy

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expand-x(ln(x)+y^2*ln(y))dy

expand

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

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

Solution steps

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

Apply the distributive law:

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)

Apply minus-plus rules

+ (- a) = - a

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

4 (x - \frac{3}{2})

4 (4 e^{2 x^{2}} x^{2} + e^{2 x^{2}})

(a, 2 b - 10, 5 c - 13) (15 - a, 2 d - 1, 11 - c)

(x - 3) (x - 4 i)^{2}

(y + 6)^{2}

What is expand-x(ln(x)+y^2*ln(y))dy ?
The solution to expand-x(ln(x)+y^2*ln(y))dy is -xln(x)dy-xy^2ln(y)dy