
#1
Nov912, 07:03 AM

P: 816

Hi,
I am trying to integrate (tanh(x)+coth(x))/((cosh(x))^2) I am substituting u=tanh(x), du=dx/((cosh(x))^2) and end up with 1/2(tanh(x))^2 + ln tanh(x) + C which is incorrect. What am I doing wrong?? 



#2
Nov912, 02:21 PM

P: 816

Does someone have an idea what is stymying my answer?




#3
Nov912, 03:32 PM

HW Helper
Thanks
P: 5,591

Why did you chose u = tanh(x)? What happens if you expand (tanh(x) + coth (x))?




#4
Nov912, 03:42 PM

P: 816

Integrating hyperbolic functions
I used u=tanhx, as 1/(coshx)^2 is its derivative.




#5
Nov912, 04:36 PM

Sci Advisor
HW Helper
Thanks
P: 25,175





#6
Nov912, 04:52 PM

P: 816

Online calculators claim the integral to be 1/2*(coshx)^2 + ln tanhx + c.
1/2*(tanhx)^2 (which is the first term in my answer) is not equal to 1/2*(coshx)^2, is it? 



#7
Nov912, 05:00 PM

Sci Advisor
HW Helper
Thanks
P: 25,175





#8
Nov912, 05:21 PM

P: 816

I am not following your argument. Is the answer which Wolfram's calculator yields equal to mine?
My answer is: (0.5)(tanh(x))^2 + ln tanh(x) + C Wolfram's calculator's answer: (0.5)(sech(x)^2) + ln [tanh(x)] + C 



#9
Nov912, 05:24 PM

Sci Advisor
HW Helper
Thanks
P: 25,175





#10
Nov912, 05:32 PM

P: 816

I see. Thanks a lot!



Register to reply 
Related Discussions  
hyperbolic area sector confirmed with hyperbolic functions  Calculus  0  
Hyperbolic Functions  Calculus & Beyond Homework  5  
Hyperbolic Functions  Calculus & Beyond Homework  3  
problem with integrating to find scattering angle in hyperbolic orbit  Advanced Physics Homework  0  
Hyperbolic functions  Calculus & Beyond Homework  2 