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

`(1)/(4)+(1)/(2)=(3)/(4)=0.75`