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## question of integration

 kwongkienyi Less Junior Member   Join Date: Apr 2012 Posts: 72 #1 14-08-2012 question of integration i wonder how to solve this question: ${\int \frac{x-1}{(x+1) \sqrt{x^3+x^2+x}} dx}$ integration of (x-1)/((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; 14-08-2012 at 03:08 PM.
Sillyboy
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#2 14-08-2012 Re: question of integration

Quote:
 Originally Posted by kwongkienyi i wonder how to solve this question: ${\int \frac{x-1}{(x+1) \sqrt{x^3+x^2+x}} dx}$ integration of (x-1)/((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
Are you sure your equation is correct? This does not look like something that can be trivially done!

 youngyew ReCom Addict Administrator     Join Date: May 2004 Posts: 5,738 #3 14-08-2012 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)) __________________ [][][][flickr] Check out our ReCom wiki! Do contribute by writing or editing the existing articles so that everyone now and in the future can benefit from it!
kwongkienyi
Less Junior Member

Join Date: Apr 2012
Posts: 72
#4 15-08-2012 Re: question of integration

Quote:
 Originally Posted by youngyew 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))
thanks a lot.
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; 15-08-2012 at 02:59 PM.

Sillyboy
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Join Date: Apr 2006
Posts: 914
#5 15-08-2012 Re: question of integration

Quote:
 Originally Posted by kwongkienyi thanks a lot. 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?
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!

kwongkienyi
Less Junior Member

Join Date: Apr 2012
Posts: 72
#6 15-08-2012 Re: question of integration

Quote:
 Originally Posted by Sillyboy 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!
No, it is not from a reference books, but from the exercise books. i didn't sure is it a further math because the cover of the books just write A-level math. and the question inside this books are VERY difficult.
i wonder if the integration/differentiation of inverse trigo function is in the A-level 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 a-level student?

Sillyboy
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Join Date: Apr 2006
Posts: 914
#7 16-08-2012 Re: question of integration

Quote:
 Originally Posted by kwongkienyi No, it is not from a reference books, but from the exercise books. i didn't sure is it a further math because the cover of the books just write A-level math. and the question inside this books are VERY difficult. i wonder if the integration/differentiation of inverse trigo function is in the A-level 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 a-level student?
No, integration and differentiation of inverse trig functions are definitely not in A-level Maths. Don't take my word for it though, it is worth you checking it out yourself!

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...

 henry_yew The Iron Boot ReMag WriterForum Moderator     Join Date: Jun 2006 Posts: 1,563 #8 17-08-2012 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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