#### To determine

**To graph:**

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

#### Answer

Area = 2.80123

#### Explanation

**1) Concept:**

Graph the two curves and set up the integral for the area using the concept of area between 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 curves y=21+x4 and y=x2

**3) Calculation:**

Graph y1=21+x4 and y2=x2 on a calculator.

It is shown below.

The curve intersects at x =-1 and x=1.

y1>y2 on the interval (-1, 1)

So, the area is given by:

∫-1121+x4-x2 dx

Evaluate the integral by using a calculator Ti-84 plus.

Use the below steps:

1) Click on “Math” option.

2) After that under “Math” search for the option “fnInt(“

3) Write the lower limit, upper limit and function using the proper brackets and required variable.

4) Press enter key; it will display the final answer.

Area = 2.80123

**Conclusion:**

Area = 2.80123