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Homework Statement
∫(9+16x^{2})^{3/2}dx
Homework Equations
The Attempt at a Solution
I have tried to solve this one in various ways. At first, I tried using trig substitutions and then integration by parts. I attached a pdf of what I tried to do. I'm unsure as to what I am doing wrong. Is there something I am missing here? I tried to do a u substitution with u=√9+16x^{2} but that seemed to not work either. Other ways just get me bogged down in a very long integration by parts thing. Is there any other way? Can anyone shed some light on what I can do to solve this? Thanks!
Attachments

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