Mathematics
8 Online
OpenStudy (anonymous):
I need help in integration.
I'll post the question below
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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 ?
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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
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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.
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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
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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