- #1

- 2

- 0

I'm searching for a solution to integrate the function below but i couldn't find anything suitable yet.I don't know even how to start it !

can any body help me finding the integral?

f(x)=1/(1-A*cosx)^3

Thanks you ...

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- #1

- 2

- 0

I'm searching for a solution to integrate the function below but i couldn't find anything suitable yet.I don't know even how to start it !

can any body help me finding the integral?

f(x)=1/(1-A*cosx)^3

Thanks you ...

- #2

MarcusAgrippa

Gold Member

- 152

- 36

Simplify the denominator with a substitution. Try the obvious substitution.

- #3

- 142

- 11

http://www.wolframalpha.com/input/?i=1/(1-A*cosx)^3&dataset=&equal=Submit

- #4

MarcusAgrippa

Gold Member

- 152

- 36

- #5

- 6,723

- 424

One way to approach this would be to express the cosine using complex exponentials, then use the obvious substitution to get the integral into the form [itex]\int du/P(u)[/itex], where P is a polynomial. This might then be doable using partial fractions.

- #6

- 142

- 11

yes,i copied correctly. why??

- #7

- 156

- 36

I believe the question was intended for the OP.yes,i copied correctly. why??

- #8

- 2

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But yet i couldn't find the right way , and the integral i wrote is correct.

wolframalpha also doesn't show step by step guide.

- #9

- 156

- 36

It does usually, but with this one it seems to take forever to load.wolframalpha also doesn't show step by step guide.

Anyway, you saw the answer, are you comfortable with that sort of an answer ?

[EDIT:- Ah, I see what you mean, after loading it said the solution was not avaliable, this can happen sometimes with hard integrals like the one you provided.]

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