Question

what is an anti derivative

Answer 1

It's pretty much an integral. Do you have an example problem?

Answer 2

like, find the anti derivatives of 2x^3-x^4

Answer 3

Like the name implies, it's the opposite of a derivative. You do the opposite of differentiation.

Answer 4

When you differentiate x^a, you multiply by a, then decrease the power by one - do the reverse to find an anti derivative - increase the power by one first, then divide by the new power.

Answer 5

So for each of the terms here, increase the power by one, then divide the term by the new power\[\large 2x^3-x^4\]
eg for 2x^3, increase the power to 4, then divide by 4...\[\frac{ 2x^4 }{ 4 }\]

Answer 6

alright thank u. bt they asked me for two anti derivatives in that qn?

Answer 7

I left finding the other up to you. Increase the power by one, divide by the new power.