Question

Find the area of the region bounded by y =- 1, y = x^3, and y =2 - X

Answer 1

Let us first show the graph of the functions y=x^3 and y=2-x\

We wll calculate the area of the region bounded as shown below

$\int_0^1x^3dx+\int_1^2(2-x)dx$

Final answer will be

$\frac{1}{4}+\frac{1}{2}=\frac{3}{4}=0.75$