What is the difference between summation and integration?

What is the difference between summation and integration?

Summation is the process of adding a finite series of numbers, while integration is a mathematical operation that finds the area under a curve.

Can you give me an example of summation?

Sure! For instance, the summation of the first five natural numbers is 1 + 2 + 3 + 4 + 5 = 15.

And what about integration? How does that work?

Integration can be thought of as finding the area under a curve. For example, the integral of f(x) = x from 0 to 1 gives the area under the line from x=0 to x=1.

Are there any real-world applications for both?

Yes, summation is often used in statistics for calculating totals, while integration is used in physics for calculating quantities like distance and area.