   Chapter 4.3, Problem 24E

Chapter
Section
Textbook Problem

Evaluating a Definite Integral Using a Geometric Formula In Exercises 23-32, sketch the region whose area is given by the definite integral. Then use a geometric formula to evaluate the integral ( a > 0 , r > 0 ) . ∫ − 3 4 9   d x

To determine

To Graph: The integral 349dx and calculate the value of the integral using geometric formula.

Explanation

Graph:

The graph of the region can be obtained using TI-83 calculator:

Step1: Press “ON” key.

Step2: Press “Y=” key.

Step3: Enter the equation “9”.

Step4: Press “WINDOW” key.

Step5: Set Xmin=10, Xmax=10, Xscl=1, Ymin=10, Ymax=10 and Yscl=1.

Step6: Press “GRAPH” key.

Step7: Press “2nd” key.

Step8: Press “TRACE” key.

Step9: Enter the lower limit as 3.

Step10: Press “ENTER” key.

Step11: Enter the upper limit as 4

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