Ask your own question, for FREE!
Mathematics 64 Online
OpenStudy (anonymous):

can someone show me how to integrate (9(1+arctan x))/(1+x^2). or can you tell me the table number i should use (stewart book)

OpenStudy (anonymous):

if I substitue u = arctan x, du = 1/(1+x^2), dx = 1+x^2 du this would cancel 1+x^2 at the bottom of the function and I'm stuck integrating 9(1+U) du

OpenStudy (anonymous):

hi

OpenStudy (anonymous):

\[\int\limits 9(1+\arctan(x)) / (1+x^2)\] let \[u = 1+\arctan(x)\] then \[du/dx = 1/(x^2+1)\] so \[\int\limits 9(1+\arctan(x))/(1+x^2) dx = \int\limits (9u)du \] \[=9u^2/2 +c\] \[= 9(1+\arctan(x))^2 /2 +c\] \[=9(\arctan(x)) +(9/2)(\arctan(u)^2 +c_2\]

OpenStudy (anonymous):

thank you! I

Can't find your answer? Make a FREE account and ask your own questions, OR help others and earn volunteer hours!

Join our real-time social learning platform and learn together with your friends!
Latest Questions
XxXImHerXxX: can y'all send me a pm ? It wont work
1 hour ago 12 Replies 1 Medal
ShadowKid3: I drew Leon from Brawl Stars and want feedback on it
1 hour ago 8 Replies 5 Medals
XShawtyX: Rate the art ud83cudfa8
4 hours ago 20 Replies 6 Medals
randogirl123: what are some things that i can add to my sketch *feedback*
6 hours ago 20 Replies 1 Medal
ThanosQC: What sounds better? Looking for feedback-
5 hours ago 12 Replies 4 Medals
Can't find your answer? Make a FREE account and ask your own questions, OR help others and earn volunteer hours!

Join our real-time social learning platform and learn together with your friends!