## cherrilyn 5 years ago evaluate the integral by completing the square and using trig sub:

1. anonymous

The function?

2. cherrilyn

$\int\limits_{?}^{?}\sqrt{(x ^{2}-4x+7)dx}$ and $\int\limits_{}^{?} dx/(x ^{2} +6x + 6)^{2}$

3. cherrilyn

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

4. cherrilyn

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

5. anonymous

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?

6. cherrilyn

the first one

7. anonymous

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

8. cherrilyn

thanks!! :D