integralite 1/1-y2

Question

integralite 1/1-y2

kira_yamato · Answer

$$\int\limits \frac{ dy }{ 1-y^2 } = \frac{ 1 }{ 2 }\ln \left| \frac{ 1+x }{ 1-x } \right| + C$$

hartnn · Answer

know about partial fractions ?

anonymous · Answer

no hartnn.

anonymous · Answer

Is it true the exact Kira_Yamato?

hartnn · Answer

do you want to learn partial fractions ?

anonymous · Answer

yes  hartnn

hartnn · Answer

when you have factors in denominator like (x-a)(x-b)
we express the fraction as 
$\Huge \dfrac{1}{(x-a)(x-b)}=\dfrac{A}{x-a}+\dfrac{B}{x-b}$

hartnn · Answer

here, can you factor the denominator ? 1-y^2 = ... ?

anonymous · Answer

understood thank you hartnn thank you  Kira yamato

hartnn · Answer

you understood entirely ? 
could solve such problems on your own ?

kira_yamato · Answer

After that you can integrate separately and use laws of logarithms to get the answer above. Remember your constant of integration.

goformit100 · Answer

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