Recent content by hamalyas

thank you very much jgens, it really helped me a lot in understanding the situation. i didn't get it 100 % of course ! but at least i have a small idea now i'll try to read your notes again for more understanding, because this is the first time i expose to this kind of real analysis in math...

yeah i think i got them so what we are trying to do here is to find the sum of each upper and lower bound for a given interval. is that right ?

yeah sure , it does make sense

i'm sorry i have no idea about the supremum or least upper bound

i'm sorry jgens, but my knowledge in calculus is only a Calculus BC course can you elaborate more on the upper and lower sum i didn't understand this sentence " the upper sum will always be greater than the value of the volume and the lower sum will always be less than the volume " i'm...

thank you jgens, but i have another question why does it work for the volume ( i mean taking the thickness dx ) instead of ds and for the surface area it doesn't work and i have to use ds and by the way do you mean by saying " upper and lower sums " limits of integration

volume and surface area of the sphere using integration ?? i was trying to find the surface area of the sphere using integration, ( by revolving circle on the x-axis ) the thing is it doesn't work as the volume problem. i mean in volume problem to get the volume of the sphere, you would...

up ... up

Homework Statement i was trying to find the surface area of the sphere using integration, ( by revolving circle on the x-axis ) the thing is it doesn't work as the volume problem. i mean in volume problem to get the volume of the sphere, you would start with circle and start slice it...