## Dido525 Group Title Hyperbolic intergal one year ago one year ago

1. Dido525 Group Title

|dw:1353111163841:dw|

2. Dido525 Group Title

No matter how many times I do it I keep getting the wrong answer.

3. Dido525 Group Title

@zepdrix

4. Dido525 Group Title

I believe the anti-derivative is: |dw:1353111289980:dw|

5. zepdrix Group Title

Hmm I'm not sure how you're able to deal with the fact that the outside term is a square. Is there a double angle formula for hyperbolic sine? Otherwise I would convert to exponentials and break it down from there. $\large \sinh x=\frac{ e^x-e^{-x} }{ 2 }$ $\large \sinh^2 x=\left(\frac{ e^x-e^{-x} }{ 2 }\right)^2=\left(\frac{ 1 }{ 4 }\right)(e^{2x}-e^{-2x}-2)$ Hopefully I expanded that correctly :O

6. Dido525 Group Title

Well according to Wikipedia:

7. Dido525 Group Title

In this case a is 1.

8. zepdrix Group Title

Hmm yah it looks good. But if you're trying to enter this into webassign (or something similar), then maybe your teacher is looking for an answer in exponential form. Hmmmmm.

9. Dido525 Group Title

No No. It's a written :) .

10. zepdrix Group Title

Do you have the answer we're SUPPOSE to get, like in a book or anything? :D

11. Dido525 Group Title

No...

12. zepdrix Group Title

Then why do you think you're getting the wrong answer? XD

13. zepdrix Group Title

Oh, so you GAVE me the answer, you're just not sure how to get there? :O

14. Dido525 Group Title

Wolfram.

15. Dido525 Group Title

Ohh wait...

16. Dido525 Group Title

No I didn't give you the answer. I just keep getting different answers every time.

17. zepdrix Group Title

$\huge \int\limits_{0}^{1}\left(\frac{ 1 }{ 4 }\right)(e^{2x}-e^{-2x}-2) dx$ $\huge =\left(\frac{ 1 }{ 4 }\right)\left(\left(\frac{ 1 }{ 2 }\right)e^{2x}+\left(\frac{ 1 }{ 2 }\right)e^{-2x}-2x\right)_0^1$

18. zepdrix Group Title

maybe the problem is... are you forgetting, its a DEFINITE integral.. or you're having trouble before that part? :D

19. Dido525 Group Title

I got it!!!

20. zepdrix Group Title

oh good :3 lol

21. Dido525 Group Title

If you were wondering it is: |dw:1353112228539:dw|

22. zepdrix Group Title

oh cool c:

23. Dido525 Group Title

No constant right? It's a definite integral.

24. Dido525 Group Title

@zepdrix

25. zepdrix Group Title

Yah any constants would fall out c: no constant.