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(a)
Since the function is a continuous function, we may again apply the FTC to obtain
as
since
(we are using the fact that since is a periodic function with a period of ).
(b)
From equation (3), we know that and we can see that:
(c)
From equation (7), we know that . We have
Problem 7
References: Santalo. De-lin
since 
is a periodic function with a period of 
).
and we can see that: