CPM Homework Help : CALC Problem 6-105

Find the area (shown in the diagram) between the graphs of $y = \frac { 1 } { x ^ { 2 } + 1 }$ and $y = x^{2}.$

Step 1:

Identify which function is on top and which is on the bottom.

Step 2:

Area between curves $=\int_{A}^{B}((\text{top function})-(\text{bottom function}))dx$

A = left intersection point
B = right intersection point