## swin2013 2 years ago FTC and definite integrals?

1. swin2013

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

2. swin2013

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

3. swin2013

@zepdrix

4. zepdrix

No the `derivative` is x^2+2. I think you went in the wrong direction :)

5. swin2013

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

6. zepdrix

You do? :o

7. zepdrix

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

8. swin2013

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

9. swin2013

something like that hahaha

10. swin2013

11. swin2013

and divide by the exponent

12. zepdrix

`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 :)

13. swin2013

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

14. swin2013

x^4/4 +x^2?

15. zepdrix

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

16. swin2013

for the x^3/3 part?

17. zepdrix

ya

18. zepdrix

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

19. swin2013

OOPS! x^4/4*3

20. swin2013

i got 16/3

21. zepdrix

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

22. swin2013

thanksssssssssss!