# Math Help - Intergration by substitution 3

1. ## Intergration by substitution 3

How do you this one?

2. Let
u=x+3
v'=sqrt(4-x^2)

4. Originally Posted by camherokid
TPH is suggesting integration by parts. see your other post on integration by parts to see the full method

i would expand the brackets first though, since the question says to write it as two integrals

5. I guess the integral is int((3+x)*sqrt(4-x^2),x=-2..2)).

6. Originally Posted by curvature
I guess the integral is int((3+x)*sqrt(4-x^2),x=-2..2)).
Then we have the following:

7. Originally Posted by curvature
I guess the integral is int((3+x)*sqrt(4-x^2),x=-2..2)).
No one can integrate (3+x)*sqrt(4-x^4) by hand.