Hi guys ,, i have the following question (it's in the attachment) :
Find m and M such that m <= x sin x <= M if 0 <=x <= pi. (Any reasonably good bounds will do,
I am not asking for the best possible bounds.)
Hence find bounds on the value of the integral[x sin(x),0 to pi]
The Attempt at a Solution
i have a formal solution (it's in the attachment) but the problem is i don't understand the question. Before i saw the question ,, i tried to solved it like this :
since (0 <=x <= pi) then 0 <= x sin x <= 0 ( i solved for zero and pi) ,, and stopped there.
can anyone tell me the problem in a way that i can understand ,, and in the answer it says "This is certainly not the best you could do, but it is definitely a bound" what does he mean ? is there many other ways to solve it ?? . (Thanks in advanced)