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HomogenousCow said:...I think the u=lnx substitution is quite obvious, I mean the 1/x factor is right there.
After you use the substituion, the 1/x factor will go away and you can factorize that junk in the root sign, I think you can take it from there.
No, you haven't.omri_mar said:thank you all but I've tried it all...
And, for the last time:omri_mar said:what execises? I am new here and I have no idea what your talking about. believe me I know a thing or two in math and this integral i couldn't solve so don't call me laze because I've tried for 5 hours befor I decided to ask for help. you can see that it is my first post
arildno said:Correct!
Now, we multiply that cosine factor into the parenthesis, and we get the integral:
[tex]\int\frac{dv}{\sqrt{3}\sin(v)-\cos(v)}[/tex]
Well, I haven't bothered to check. They'll differ by at most a well-hidden constant.Curious3141 said:At this stage, I'd look to recast the denominator into a single trig ratio in the form of ##R\sin(\theta - \phi)## and integrate the cosecant term. But half-angles are fine also. Not sure which approach is more work when you "unfurl" all the substitutions back to the original variable.
arildno said:Well, I haven't bothered to check. They'll differ by at most a well-hidden constant.
Since one of them actually hid itself from me, proves they are well-hidden, as I said.pwsnafu said:No, at most two constants. The domain of the integrand is disconnected ## x \in (0,1)\cup(1,\infty)##. It's possible to have one constant for the first connected component and a different constant for the other.
omri_mar said:aaaa
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