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anonymous
 one year ago
How to prove the indefinite integral of arctanx?
anonymous
 one year ago
How to prove the indefinite integral of arctanx?

This Question is Closed

freckles
 one year ago
Best ResponseYou've already chosen the best response.1the question seems incomplete do you want to prove it is an even function? is the question not to prove it and just find it?

freckles
 one year ago
Best ResponseYou've already chosen the best response.1what do you want to prove about it exactly?

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0I just want to prove its solution

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0http://math.stackexchange.com/questions/629940/adefiniteintegralcontainingarctanx Don't know if this site will help you @freckles

freckles
 one year ago
Best ResponseYou've already chosen the best response.1you mean find it solution? because this question is incomplete

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0\[\int\limits_{}^{}arctanx\]

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0not a proof i guess then

freckles
 one year ago
Best ResponseYou've already chosen the best response.1oh ok because this question reminds me of saying something like prove 5 like prove 5 is what :p

freckles
 one year ago
Best ResponseYou've already chosen the best response.1anyways you could do a substituion let u=arctan(x) then tan(u)=x differentiating both sides gives sec^2(u) du=dx

freckles
 one year ago
Best ResponseYou've already chosen the best response.1\[\int\limits_{}^{} u \sec^2(u) du\]

freckles
 one year ago
Best ResponseYou've already chosen the best response.1try integration by parts

freckles
 one year ago
Best ResponseYou've already chosen the best response.1you could actually do integration by parts even before substitution

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0so u=arctanx and dv=dx?

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0i got xarctanx  1/2ln(1+x^2)

freckles
 one year ago
Best ResponseYou've already chosen the best response.1\[\int\limits_{}^{} 1 \cdot \arctan(x) dx \\ =x \arctan(x)\int\limits x \frac{1}{1+x^2} dx\] and yes for the second integral you are right because you can just do the sub u=1+x^2

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0ok thank you! was a lot simpler than i realized

freckles
 one year ago
Best ResponseYou've already chosen the best response.1and @A.S.L. my question was not about integrating arctan(x) it was about what the prove meant before that part...

freckles
 one year ago
Best ResponseYou've already chosen the best response.1for example "evaluate the indefinite integral of arctan(x)" I would have no questions about this meaning

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0Sorry My mistake @freckles

freckles
 one year ago
Best ResponseYou've already chosen the best response.1no apologies necessary
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