Area Consider the problem of finding the area of the region bounded by the x-axis, the line v, and the curve
(a) Use a graphing utility to graph the region and approximate its area.
(b) Use an appropriate trigonometric substitution to find the exact area.
(c) Use the substitution to find the exact area and verify that you obtain the same answer as in pan (b).
To graph: The area of the region bounded by the curve , and .
The function provided is:
For the function the graph is drawn as below:
Use Ti-83 to plot the graph of the function:
Step 1: Press the [Y=]key, then there will appear the equations for .
Step 2: Enter the equations in . Here,
To calculate: Thevalue of area of by trigonometric substitution
To calculate: By trigonometric substitution the value of area of of
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