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Mathematics 8 Online
OpenStudy (anonymous):

I need help in integration. I'll post the question below

OpenStudy (anonymous):

\[\int\limits \frac{ 1 }{ (x^2 -1)^2 }dx\]

OpenStudy (anonymous):

OpenStudy (anonymous):

After that it's fairly easy.

OpenStudy (anonymous):

But if you have trouble don't hesitate to ask.

OpenStudy (anonymous):

thx man.. u mind if I give u another question ?

OpenStudy (anonymous):

Shoot it!

OpenStudy (anonymous):

\[\int\limits \frac{ x }{\sqrt{3-2x-x^2} }dx\]

OpenStudy (isaiah.feynman):

Trig substitution might work

OpenStudy (anonymous):

what would you substitute for x ?

OpenStudy (anonymous):

Wolframalpha.com

OpenStudy (anonymous):

ook thx again, I guess hahaha big help

OpenStudy (isaiah.feynman):

He used trig substitution.

OpenStudy (anonymous):

\[\int\limits \frac{ 1 }{ x^2 + 4 } dx\]

OpenStudy (anonymous):

out sorry, it's not x^2, but x^4

OpenStudy (abb0t):

Use partial fraction decomposition.

OpenStudy (anonymous):

\[\int\limits \frac{ 1 }{ x^4 + 4 } dx\]

OpenStudy (anonymous):

how do you simplify x^4 + 4 ?

OpenStudy (abb0t):

\[\int\limits \frac{1}{(x^2-2x+2)(x^2+2x+2)}dx\]

OpenStudy (anonymous):

Yup, that's how it's done

OpenStudy (anonymous):

thx guys

OpenStudy (abb0t):

Now, you can proceed with partial fraction decomposition. As you can see, this is going to be a long and tedious problem.

OpenStudy (anonymous):

yep thx again guys

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