What is expand-x^2(cot(3y)+x^3ysin(3y)dy) ?

The solution to expand-x^2(cot(3y)+x^3ysin(3y)dy) is -x^2cot(3y)-x^5ysin(3y)dy

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expand-x^2(cot(3y)+x^3ysin(3y)dy)

expand

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

- x^{2} cot (3 y) - x^{5} y sin (3 y) d y

Solution steps

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

Apply the distributive law:

a (b + c) = ab + a c

a = - x^{2}, b = cot (3 y), c = x^{3} y sin (3 y) d y

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

Apply minus-plus rules

+ (- a) = - a

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

x^{3} x^{2} y sin (3 y) d y = x^{5} y sin (3 y) d y

= - x^{2} cot (3 y) - x^{5} y sin (3 y) d y

(x + 4) \cdot ln (\frac{x + 12}{x + 4})

x d (y + y_{2}) d y_{2} + (1 - 2 y_{2}) d y

(2 + 5 = 6,) V (5 - 3 = 4)

\frac{2 x + 1}{x ^{2} ( 2 x - 1 )}

\frac{( a x + b ) ^{3}}{3}

What is expand-x^2(cot(3y)+x^3ysin(3y)dy) ?
The solution to expand-x^2(cot(3y)+x^3ysin(3y)dy) is -x^2cot(3y)-x^5ysin(3y)dy