What is expand f(x+1)^3dx ?

The solution to expand f(x+1)^3dx is fx^3dx+3fx^2dx+3fxdx+fdx

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expand f(x+1)^3dx

expand

f (x + 1)^{3} d x

f x^{3} d x + 3 f x^{2} d x + 3 f x d x + fd x

Solution steps

f (x + 1)^{3} d x

(x + 1)^{3} = x^{3} + 3 x^{2} + 3 x + 1

= f (x^{3} + 3 x^{2} + 3 x + 1) d x

Distribute parentheses

= fd x x^{3} + fd x \cdot 3 x^{2} + fd x \cdot 3 x + fd x \cdot 1

= f x^{3} d x + 3 f x^{2} d x + 3 f x d x + 1 \cdot fd x

Multiply:

1 \cdot f = f

= f x^{3} d x + 3 f x^{2} d x + 3 f x d x + fd x

\frac{x}{( x - 3 ) ^{5}}

- 2 (x - \frac{3 π}{4})

\frac{( x + 3 ) ( x + 5 )}{2}

\frac{( - x + 15 ) ( x - 10 )}{2}

\frac{x ^{2}}{( x - 5 ) ^{2} ( x + 1 )}

What is expand f(x+1)^3dx ?
The solution to expand f(x+1)^3dx is fx^3dx+3fx^2dx+3fxdx+fdx