M119 Project 6 – Definite Integration on the Graphing Calculator

Due: 10 points

Objective: Use technology to approximate definite integrals

Information on using the numeric integration – MATH 9:fnInt(“function”,x,Start,Stop)

Example: Find:

Enter the function into Y1

Method I - on the graph menu

Graph y1 on an appropriate viewing window – in this case [0,10] for x and [0,25] for y

To find the definite integral use 2^nd Trace (i.e. CALC) and choose 7:

In response to Lower Limit? type 1 and hit ENTER

In response to Upper Limit? type 9 and hit ENTER (note: 1 and 9 are the limits for this problem)

The area should shade and indicate a value of approximately 109.333

Method II - on the home screen

MATH 9: fnInt( Y1, X, 1 ,9) will give the 109.333

Note: You could enter instead of Y1 - like - MATH 9: fnInt, X, 1 ,9)

PROJECT

Evaluate the following with your calculator. Record answers to three decimal places.

1. 2.

3. 4.

5. Show work, using calculus to evaluate, then check with the calculator: