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Less Junior Member

#1
14082012
question of integration
i wonder how to solve this question:
integration of (x1)/((x+1)((x^3+x^2+x)^(1/2)) sorry i had to type like this as i didn't have the formula typing software Last edited by kwongkienyi; 14082012 at 03:08 PM. 
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#2
14082012
Re: question of integration

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#3
14082012
Re: question of integration
I am far too removed from maths to be able to do this now but a quick wolframalpha search showed a complicated solution:
http://www.wolframalpha.com/input/?i...%2Bx)%5E(1%2F2))
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Less Junior Member

#4
15082012
Re: question of integration
Quote:
but the problem is i read this question in a level math books, but not further math. i suppose that there are no sinh or other hyperbolic trigo in a level math right? Last edited by kwongkienyi; 15082012 at 02:59 PM. 

Slightly Senior Member

#5
15082012
Re: question of integration
To answer your question no, no hyperbolic functions in A level Maths but I am not convince your read this question from an A level Maths book! Unless they introduced a very sophisticated substitution or made use of certain properties, you just cannot integrate this lightly! Having arsinh in the answer is fine but Elliptic integrals??? :S No A level material, not even first or second year Maths!

Less Junior Member

#6
15082012
Re: question of integration
Quote:
i wonder if the integration/differentiation of inverse trigo function is in the Alevel Math? because there are a lot of such questions in that books! (i check that inverse trigo is not in STPM math T either!) but thanks to Johnivan further math blog, i still able to solve that question. yeah, i forgot to ask u that are u currently an alevel student? 

Slightly Senior Member

#7
16082012
Re: question of integration
Quote:
I suspect that book for yours could be for A level Further Maths but no harm doing the questions I suppose! Nope, I did my A level ages ago. I am old... 

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#8
17082012
Re: question of integration
I can definitely integrate that function, but I won't do it analytically; I'll do it numerically. Haha...

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