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anonymous
 5 years ago
antiderivative of arctan(2x)dx
anonymous
 5 years ago
antiderivative of arctan(2x)dx

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anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0use integration by parts, let u = arctan(2x), let dv = dx

anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0int(udv) = uv  int(vdu)

anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0yeah..du=1/1+x^2 right

anonymous
 5 years ago
Best ResponseYou've already chosen the best response.02/1 + x^2, dont forget the chain rule!

anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0i guess i have to memorize all the trig identiities and derivitaves and antiderivative..it sux my exam is 2moro

anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0u should get, xarctan(2x)  ln abs(1 _ x^2) + C

anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0Alternative method. Let 2x be theta. Make a right triangle of theta where 2x is opposite, 1 is adjacent. New antiderivative is antiderivative of tan of theta. After antiderivative go back to the triangle to change to original values.
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