evaluate the integral by completing the square and using trig sub:

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evaluate the integral by completing the square and using trig sub:

Mathematics
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The function?
\[\int\limits_{?}^{?}\sqrt{(x ^{2}-4x+7)dx}\] and \[\int\limits_{}^{?} dx/(x ^{2} +6x + 6)^{2}\]
for the first one I know the completed square is (x^2-4x+4)-4+7 so I get (x-2)^2+3

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then I go all the way down to u sub which leads me to \[\int\limits_{}^{}\sqrt{u ^{2}+3}du\]
You would get better help if you pose one quetion at a time. Or else results become difficult to follow. So which one are you working on?
the first one
Only place I have ever seen this process address is in this MIT lecture beginning at about 37:52 http://www.youtube.com/watch?v=CXKoCMVqM9s&feature=BFa&list=PL590CCC2BC5AF3BC1&index=25
thanks!! :D

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