To find: The area of the region enclosed by the
Answer to Problem 34E
The area is:
Explanation of Solution
Given information:
The curves are:
Calculation:
The graph of the functions
on a graphing calculator to find their intersection. Since the region is bounded on the left by the
The area of the region is then the area under
To evaluate
Evaluate
are calculated using LIPET (Logarithms, Inverse Trig Functions, Polynomials, Exponentials, and Trig Functions). Find the derivatives and anti derivatives, write the plus and minus signs alternately (starting with plus), and then draw arrows connecting each term on the left with the term in the following row on the right to finish the table.
The integral of display style
Now find to use the power rule:
To get the area of the region, use the values of each integral:
Therefore the required area of the given information is
Chapter 6 Solutions
CALCULUS-W/XL ACCESS
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