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Another Integration by Parts problem I keep getting almost right!

My work is attached.

__The final answer in my text book is the same that Wolfram Alpha provides:__

integral (arctan(4x - Wolfram|Alpha))

but Wolfram Alpha does not show the work for this integThe final answer in my text book is the same that Wolfram Alpha provides:ral; it says "$Aborted" whenever I ask it to show the steps.

__My work is different according to this in Wolfram Alpha:__ is 1/8 * ln(1 + 16x^2) = 2ln(x^2 +1) ?

If they are equal, it returns true, otherwise it shows the usual data. And, it does not return true, so they are not equal.

Any help would be very much appreciated!

Thanks!