1. ## Integration problem calculus

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

If , then there is a unique real number such that

Express as a rational function of and .

2. ## Re: Integration problem calculus

Originally Posted by danny88
, then there is a unique real number such that

Express as a rational function of and .

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

So $\displaystyle \tan(a+b)=z$

3. ## Re: Integration problem calculus

I really don't get the next step

4. ## Re: Integration problem calculus

Originally Posted by danny88
I really don't get the next step

What is $\displaystyle \tan(a+b)=$$5. ## Re: Integration problem calculus sin(A+B)/cos(A+B) 6. ## Re: Integration problem calculus Originally Posted by danny88 sin(A+B)/cos(A+B) That does you no good!$\displaystyle \tan(a+b)=\frac{\tan(a)+\tan(b)}{1-\tan(a)\tan(b)}$. Clearly$\displaystyle a=\arctan(x)\$.

If you are still confused, then it is time to leave this site and seek live instruction from your instructor.

Thank you