To find: The value of
Answer to Problem 53E
The answer:
Explanation of Solution
Given information:
The integral is
Calculation:
To use the technique of exercise
For,
So,
Then this gives,
Put these into the formula and then evaluate:
Hence,
Then,
The result then becomes,
Therefore, the required value of integral to use the technique of exercise
To find: The value of integral to use the technique of exercise
Answer to Problem 53E
The answer:
Explanation of Solution
Given information:
The integral is
Calculation:
The exercise
Then,
To evaluate the integral,
Let,
Then integrated,
Replace,
Gives a final result of:
Therefore, the required value of integral to use the technique of exercise
To prove: The part
Explanation of Solution
Given information:
The integral is
Calculation:
The result in part
and part
Then,
Let,
Remember that,
To use Pythagorean Theorem, gives:
To use the right triangle,
Hence,
Then,
Therefore, the required two results are then equivalent.
Chapter 6 Solutions
AP CALCULUS TEST PREP-WORKBOOK
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