Integration problem calculus

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January 29th 2013, 03:16 PM
danny88

Integration problem calculus

Hi, I needed some help with this math problem. A solution would be really appreciated.

If http://gauss.vaniercollege.qc.ca/web...c1924deb81.png, then there is a unique real number http://gauss.vaniercollege.qc.ca/web...e5e2513fe1.png such that

http://gauss.vaniercollege.qc.ca/web...5c14434431.png

Express http://gauss.vaniercollege.qc.ca/web...e5e2513fe1.png as a rational function of http://gauss.vaniercollege.qc.ca/web...dd0b8b8e91.png and http://gauss.vaniercollege.qc.ca/web...22b824af51.png.
January 29th 2013, 03:28 PM
Plato

Re: Integration problem calculus

Quote:

Originally Posted by danny88

http://gauss.vaniercollege.qc.ca/web...c1924deb81.png, then there is a unique real number http://gauss.vaniercollege.qc.ca/web...e5e2513fe1.png such that
http://gauss.vaniercollege.qc.ca/web...5c14434431.png
Express http://gauss.vaniercollege.qc.ca/web...e5e2513fe1.png as a rational function of http://gauss.vaniercollege.qc.ca/web...dd0b8b8e91.png and http://gauss.vaniercollege.qc.ca/web...22b824af51.png.

Hints: you have $\arctan(x)+\arctan(y)=\arctan(z)$

So $\tan(a+b)=z$
January 29th 2013, 03:39 PM
danny88

Re: Integration problem calculus

I really don't get the next step
January 29th 2013, 03:47 PM
Plato

Re: Integration problem calculus

Quote:

Originally Posted by danny88

I really don't get the next step

What is $\tan(a+b)=$$
January 29th 2013, 03:51 PM
danny88

Re: Integration problem calculus

sin(A+B)/cos(A+B)
January 29th 2013, 04:02 PM
Plato

Re: Integration problem calculus

Quote:

Originally Posted by danny88

sin(A+B)/cos(A+B)

That does you no good!

$\tan(a+b)=\frac{\tan(a)+\tan(b)}{1-\tan(a)\tan(b)}$ .

Clearly $a=\arctan(x)$ .

If you are still confused, then it is time to leave this site and seek live instruction from your instructor.
January 31st 2013, 03:22 PM
danny88

Re: Integration problem calculus

Thank you

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