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anonymous
 5 years ago
integral[(tan^(1)x)/(1+x^2)]
anonymous
 5 years ago
integral[(tan^(1)x)/(1+x^2)]

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anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0put 1/x=t and calculate dx/dt

anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0hey...hang on...try integration by parts...

anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0put (tan^(1)x) = t 1/1+x^2 dx = dt integratl (t dt) = t^2/2

amistre64
 5 years ago
Best ResponseYou've already chosen the best response.0uzmas on the right track :)

amistre64
 5 years ago
Best ResponseYou've already chosen the best response.0tan(t) = x ; x = tan^1(x) dt sec^2 = dx ; 1+tan^2(t) = sec^2 tan^1(x) t sec^2(t) dt  >  > t dt 1 + x^2 sec^2(t)

amistre64
 5 years ago
Best ResponseYou've already chosen the best response.0[S] t dt = (t^2)/2 substitute back for t tan^1(x)  is what it would be if you see thru the typos above lol 2

amistre64
 5 years ago
Best ResponseYou've already chosen the best response.0[ tan^1(x) ]^2  comeon people......let me know when im wrong ;) 2

anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0you r right, but after substitution we can differentiate both sides

anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0d/dx(tan ^(1)x) = 1/!+ x^2

amistre64
 5 years ago
Best ResponseYou've already chosen the best response.0tan^1(x) > 1/(1+x^2)

anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0n directly we get Integral (tdt)

amistre64
 5 years ago
Best ResponseYou've already chosen the best response.0and the (...)^2 > 2(....) 2(.....)/2 = (.......) = tan^1(x)/(1+x^2) :) yay!!

amistre64
 5 years ago
Best ResponseYou've already chosen the best response.0lol..... it makes sense to me :)

anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0So what method was used? trig substitution?

amistre64
 5 years ago
Best ResponseYou've already chosen the best response.0I used trig sub...yeah

amistre64
 5 years ago
Best ResponseYou've already chosen the best response.0i tend to forget that dt != dx ... and that there is something I miss :)
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