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Shwet Goyal posted an Question
October 09, 2021 • 06:16 am
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30 points
30 points
- IIT JAM
- Mathematics (MA)
Please prove the question by explaining the things
Please prove the question by explaining the things. This is the question from Reimann integral.
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Kanika goswami 1![best-answer]()
check it
please tell , why we put in mr and Mr sub-interval value same in f(x) because Mr= f(xr)= cos(rπ÷4n).
and if it is due to rational and irrational , then please explain me.
mr is for infimum and Mr is for superimum for lower and upper sum calculations....ok
upper integral and lower integral is always calculated like this which has done in this question
The sub-interval are [(r-1)π/4n, rπ/4n] so, mr will be sin(r-1)π/4n that's right but for Mr must be Cos(r-1)π/4n and here written is Cos(r-1)π/4n.
which is wrong in this given solution.
because sinx gives minimum and Cosx gives maximum at the same point...that's why we choose value at the same point....ok
I hope you will now understand.
Ok, thankyou mam , now I understand.