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
HEY IS AP CALC BC HARD?
Some concepts are confusing, but if you actually do the homework, it's not that bad. It's not exactly an easy class though.
Use the Equation editor to write equation please \[\int\limits_{}^{}\frac{6}{(x^2 +1)}dx\] Is this your question ??
Yes.
do you know a function whose derivative is \[\frac{1}{x^2+1}\] ??
think "inverse trig"
GAH! Trig integration again >.< I just derped pretty hard there. Thanks guys =)
what shivam said it is \[\tan^{-1}(x)\]
oh no not hard, you should have the derivatives of inverst trig functions memorized more or less
\[\int\limits\limits\limits_{}^{}\frac{6}{(x^2 +1)}dx= 6\int\limits\limits\limits_{}^{}\frac{dx}{(x^2 +1)}=6 \tan^{-1} x+c\]
rocking that latex!
Yeah. Thanks @satellite73 :)
Join our real-time social learning platform and learn together with your friends!