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# FP3 - hyperbolic integration watch

1. Evaluate the integral;
2. (Original post by InternetGangster)
Evaluate the integral;
Two main ways.

Express it in exponential form

OR

Use an identity to express cosh^2 x in terms of cosh 2x.
3. (Original post by Mr M)
Two main ways.

Express it in exponential form

OR

Use an identity to express cosh^2 x in terms of cosh 2x.
[(e^x + e^-x)/ 2 ]^2 and then expand and then simple integration right :?
4. (Original post by Mihael_Keehl)
[(e^x + e^-x)/ 2 ]^2 and then expand and then simple integration right :?
I do not think he cares after 2 years ....
5. (Original post by TeeEm)
I do not think he cares after 2 years ....
I care deeply.
6. (Original post by Mihael_Keehl)
[(e^x + e^-x)/ 2 ]^2 and then expand and then simple integration right :?
I don't know man. Maybe by 2017 I will have the answer
7. (Original post by TeeEm)
I do not think he cares after 2 years ....
Maybe

(Original post by Mr M)
I care deeply.
Haha +1
(Original post by InternetGangster)
I don't know man. Maybe by 2017 I will have the answer
Keep calm and carry on integrating.

Just out of interest is this FP3? Seems to simple for FP3 but I think hyperbolic identities is first covered in FP3.
8. (Original post by InternetGangster)
I don't know man. Maybe by 2017 I will have the answer
cosh^2 x = 1/2cosh2x + 1/2 using hyperbolic functions manipulation from those found in the formula booklet

1/2cosh2x +1/2 dx = 1/4sinh2x +1/2 x +c

I created an account just to answer your question btw

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