QuestionFind the area of the shaded region. $$f(x)=x^{4}-4 x^{3}+12 x^{2}, g(x)=-3 x+90$$

Studdy Solution
Evaluate the integral to find the area:
$$\text{Area} = \left[ -\frac{x^5}{5} + \frac{x^4}{1} - 4x^3 + \frac{-3x^2}{2} + 90x \right]_{a}^{b}$$
Calculate the definite integral by substituting the limits $a$ and $b$.
The solution will be the numerical value obtained after evaluating the definite integral.