What is integration?

Integration is a process in which we are able to find out how much area is encapsulated under a curve. Let's say we want to find the area between x = 0 and x = 10 of a curve. Generally, we take the curve function, such as x^2 + 2x + 1, and increase the power on each component. This makes the new function x^3 + 2x^2 + x (As x^0 = 1, 1 turns into 'x'). Then, with these new powers, we divide these new components by the new powers: x^3/3 + 2x^2/2 + x/1. The limits of the integral (lower limit, x = 0, upper limit, x = 10) are then used in this integral function.

Subbing x = 10 into the function, then x = 0 into the function, we take subtract the lower limit from the upper limit to find the final answer.