What is expand (y^3+kxy^4-2x)dx ?

The solution to expand (y^3+kxy^4-2x)dx is y^3dx+ky^4xdx-2xdx

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expand (y^3+kxy^4-2x)dx

expand

(y^{3} + k x y^{4} - 2 x) d x

y^{3} d x + k y^{4} x d x - 2 x d x

Solution steps

(y^{3} + k x y^{4} - 2 x) d x

= (y^{3} + k y^{4} x - 2 x) d x

Distribute parentheses

= d x y^{3} + d x k x y^{4} + d x (- 2 x)

Apply minus-plus rules

+ (- a) = - a

= y^{3} d x + k y^{4} x d x - 2 x d x

(\frac{t ^{3}}{3} + \frac{1}{4 t ^{2}}) d t

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

1 + \frac{k}{( s + 1 ) ( s ^{2} + s + 1.5 )}

\frac{( ( x + 4 ) ( 6 a + x - 4 ) )}{6}

\frac{\partial}{\partial x} ((z) (z^{3} - 3 x yz))

What is expand (y^3+kxy^4-2x)dx ?
The solution to expand (y^3+kxy^4-2x)dx is y^3dx+ky^4xdx-2xdx