Question

FTC and definite integrals?

Answer 1

integral from (0 to 2) of the function (x^3/3 +2x) dx

Answer 2

isn't the anti derivative x^2 + 2?

Answer 3

@zepdrix

Answer 4

No the `derivative` is x^2+2.

I think you went in the wrong direction :)

Answer 5

Ohh ok. so i need to take the derivative -_- lol

Answer 6

You do? :o

Answer 7

Do you know how to apply the `Power Rule` to integrals? :)

Answer 8

well it says to evaluate using FTC. yea it's like when you subtract 1 from the exponent

Answer 9

something like that hahaha

Answer 10

i meant add lol

Answer 11

and divide by the exponent

Answer 12

`Power Rule for Derivatives`:
~Multiply by the power.
~Decrease the power by 1.

`Power Rule for Integration`:
~Increase the power by 1.
~Divide by the power.

Ok good, seems you understand already :)

Answer 13

lol yea :) hopefully i don't mess that process up ahahaha

Answer 14

x^4/4 +x^2?

Answer 15

One tiny boo boo, you forgot about the 3 under the first term.

Answer 16

for the x^3/3 part?

Answer 17

ya

Answer 18

you `gain` a 4 on the bottom, it doesn't change your 3 to a 4 silly!

Answer 19

OOPS! x^4/4*3

Answer 20

i got 16/3

Answer 21

That's what I'm coming up with also, I think that's correct!

Answer 22

thanksssssssssss!