Q) The improper integral INT [a,b] f(x) f'(x) dx is
A) necessarily zero
B) possibly 0 but not necessarily
C) necessarily non non existant
D) possibly non existant but not necessarily
E) none of the above
GR8767 Q30
Re: GR8767 Q30
You need to give the function f. Don't expect people to go look stuff up for you.
Re: GR8767 Q30
The question is just as mathQ wrote it, a, b, and f are all arbitrary.mrb wrote:You need to give the function f. Don't expect people to go look stuff up for you.
Back to the original: this problem can be simplified using substitution with u=f(x).
Re: GR8767 Q30
origin415 wrote:The question is just as mathQ wrote it, a, b, and f are all arbitrary.mrb wrote:You need to give the function f. Don't expect people to go look stuff up for you.
Back to the original: this problem can be simplified using substitution with u=f(x).
I tried that...that would give me the ans ( [f(b)]^2  [f(a)]^2 )/ 2
is it some printing mistake on the ques paper ?
Re: GR8767 Q30
Okay, sorry, mrb is right, I went back and looked at the problem, at the top of the page it says
Let f be a function such that the graph of f is a semicircle S with end points (a,0) and (b, 0) where a < b
Its the same f which was used for the two previous questions.
Because of the endpoints, f(a) = f(b) = 0
Let f be a function such that the graph of f is a semicircle S with end points (a,0) and (b, 0) where a < b
Its the same f which was used for the two previous questions.
Because of the endpoints, f(a) = f(b) = 0

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 Joined: Tue May 25, 2010 12:14 am
Re: GR8767 Q30
There are two more questions before this question and there is a statement before these questions. all three questions are related to this statement so see this question in view of that statement.