#mathematics

Question

What is the difference between Integration and Summation?
Which one produces a greater value in the same range?

Answer 1

Summation is applied on Discrete Objects that can be mapped 1-1 i.e countable but  Integeration is applied where we can’t map 1-1  ..

Just Think taking Real Life Problems..

eg.Let us suppose we want to weigh a Ball of mud..of radius r...As ball conatin many  infinitly small mud particles so to weigh whole ball we can’t weigh each small mud particle  which is immpossible so here we apply integeration on basis of some paramter of ball(let us take radius)….

Now think another situation where u want to weigh a bag containing 10 similar mud balls  & each weighs 1 kg ..hence these are countable...so here we applies Summation.

Comments

What is the answer of the second question?

---

Both  produces equal values over same range only in some cases precision matters...Integeration gives more precise value than summation.

Just go for Area of Rectangle  Integeration Application..then u can better understand..