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OpenStudy (anonymous):
Just reviewing for the AP Test. I can't tell whether my brain isn't working or how to solve this:
integration of [6/(n^2 +1]dx
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OpenStudy (alexwee123):
HEY IS AP CALC BC HARD?
OpenStudy (anonymous):
Some concepts are confusing, but if you actually do the homework, it's not that bad.
It's not exactly an easy class though.
OpenStudy (anonymous):
Use the Equation editor to write equation please
\[\int\limits_{}^{}\frac{6}{(x^2 +1)}dx\]
Is this your question ??
OpenStudy (anonymous):
Yes.
OpenStudy (anonymous):
do you know a function whose derivative is
\[\frac{1}{x^2+1}\] ??
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OpenStudy (anonymous):
think "inverse trig"
OpenStudy (anonymous):
GAH! Trig integration again >.<
I just derped pretty hard there.
Thanks guys =)
OpenStudy (anonymous):
what shivam said
it is
\[\tan^{-1}(x)\]
OpenStudy (anonymous):
oh no not hard, you should have the derivatives of inverst trig functions memorized more or less
OpenStudy (anonymous):
\[\int\limits\limits\limits_{}^{}\frac{6}{(x^2 +1)}dx= 6\int\limits\limits\limits_{}^{}\frac{dx}{(x^2 +1)}=6 \tan^{-1} x+c\]
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OpenStudy (anonymous):
rocking that latex!
OpenStudy (anonymous):
Yeah. Thanks @satellite73 :)
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