What is integration? explain fully with an example : )

Integration is the opposite of differentiation/derivatives. Differentiation is the process of finding the rate of change (or gradient) whereas integration is the process of finding the area under the curve of the function.

An example is the function, f(x) = x^2.

If deriving it, you get f'(x) = 2x. Integrating it is the process of going from 2x to x^2.

If integrating 2x, you must do the opposite of differentiation. Add one to the power of x to get 2x^2 and then divide that by the new power, two, to get (2x^2/2 = x^2).

Simply do the opposite procedures that you do when differentiating.

I hope this brief explanation helps you!

The question is kind of confusing. if it's asking how many variations of answers can you give. then do 4^5 for your answer.this would be something like the first question could be a and the 2nd c or first b next c etc. if you can, ask the teacher for a better confirmation of what it's asking. if i'm assuming correctly what it's asking, it's 625 different variations.