Question

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

Answer 1

The function?

Answer 2

\[\int\limits_{?}^{?}\sqrt{(x ^{2}-4x+7)dx}\]


and \[\int\limits_{}^{?} dx/(x ^{2} +6x + 6)^{2}\]

Answer 3

for the first one I know the completed square is (x^2-4x+4)-4+7
so I get (x-2)^2+3

Answer 4

then I go all the way down to u sub which leads me to \[\int\limits_{}^{}\sqrt{u ^{2}+3}du\]

Answer 5

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?

Answer 6

the first one

Answer 7

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

Answer 8

thanks!! :D