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MathGroup Archive 1993

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Integration of a trig funt

  • To: mathgroup at yoda.physics.unc.edu
  • Subject: Integration of a trig funt
  • From: bappadit at ecn.purdue.edu (Banerjee Bappaditya)
  • Date: Fri, 25 Jun 1993 15:05:03 -0500 (EST)

Hi!

I am trying to integrate

f[x] := 1/(a + b Cos[x])

for the case b > a.

So, I do

In[3]:= b > a
In[4]:= Integrate[f[x],x]

to get the INCORRECT answer

		       (-a + b) Sin[x]
       -2 ArcTan[--------------------------]
	               2    2
                 Sqrt[a  - b ] (1 + Cos[x])
Out[4]= -------------------------------------
                       2    2
                 Sqrt[a  - b ]

which holds valid only for a > b.

Could anybody please let me know how to get the result corresponding to my
case ?

thanks,

bappa.


Bappaditya Banerjee
bappadit at mn.ecn.purdue.edu
Ray W. Herrick Laboratories
Purdue University
West Lafayette, IN 47907
work : (317) 494 2132
       (317) 494 2147
fax  : (317) 494 0787
home : (317) 743 3982

 





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