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first of all I wuz taught calculus 2-3 years back with differentials and Integration.. and ever since iam not really interested in doing this because I wanna know wot iam doing ? I wanna know how do they occur naturally ? I mean like i know if there is a equation like 3x+4y I wud differentiate subtracting one from the variables and multiplying their power with coefficients.. now iam doing BE Telecommunication, 2nd year, 4 semester, In our semester we have a subject thats related to maths and we do differentiate and integrate in those subjects.. but iam still not able to get the perspective ?

like right now we are studying about cylindrical and spherical coordinates, I understood that in cylindrical coordinates fy is the ground distance covered by the point to the rectangular x axis and p and z blah..

I wanna get to the main point

that is..

I came across this formula..

thats the formula for surface element

and that is S=pdfy dz

I hope ur getting the formula ?

it was also depicted in the book with the help of a diagram ? but I didnt really get it..

there were these differential areas.. what are those?

we got through a problem in which we had to find volume and surface.. we used differntials and integrals using limits..

I just want to know what differentials and integrals are all about ?

I mean a practical example ? like whats differentials are integrals in nature? where do they exist? I want an example like if we write apple then yea an apple comes to our mind.. like whats the shape and color.. can I get such an example for differentials and Integrals ?

I really wanna make myself clear on these two topics.. because I guess every application uses these two methods... and I never knew why do they always come in the middle.. and I hate it when I dont know anything abt it.. I just dont like adding and subtracting things like a dumb... and yea I may sound like a dumbster.. but can any one plz give me a huge lecture or explaination regarding differentials and integrals ? I would be really glad if so.. plz help me !