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| PAGE: 388 | SET: Exercises | PROBLEM: 60 |
(a)
The integral is 
.
Let 
.
.
Apply derivative on both sides.
.
The derivative power rule.
.
.
Substitute 
.
Substitute and .
.
The closest looking one is 
where 
would be 
, however this woludnt work because there would have to be an 
in the numerator.
Therefore, the integral cannot be determined for the function .
(b)
The integral is 
.
Let .
Apply derivative on each side.
Substitute and .
Integrals involving inverse trigonometric function :
.
Substitute .
.
(c)
The integral is 
Let 
.
Apply derivative on each side.
Substitute and .
Substitute .
.
Therefore, the integrals and can be found using the basic integration formulas.
The integrals and can be found using the basic integration formulas.
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