#### To determine

**To graph:**

The region between the curves and use the calculator to compute the area correct to five decimal places.

#### Answer

Area = 2.31898

#### Explanation

**1) Concept:**

Graph the two curves and set up the integral for the area using the concept of area between the two curves.

Area between two curves:

The area between the curves y= f(x) and y =g(x) and between x =a and x= b where f and g are continuous functions and fx≥gx for all x in a, b is

A= ∫ab|fx-gx| dx

**2) Given:**

The equation of the curves y=x6 and y=2-x4

**3) Calculation:**

Graph y1 =x6 and y2= 2-x2 on a calculator

It is shown below.

The curves intersect at x =-1 and x=1.

So, the area is given by ∫-112-x2-x6 dx

Evaluate the integral using a calculator.

**Conclusion:**

Area =2.31898