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Problem for the Calculus MASTERS

J

jmcoreymv

Diamond Member
I just had this problem on a midterm, and I came up with some whacked out answer and I wanted to see if someone else could solve it

integral of (y+3x)^(1/3) * (x+y)^(1/2) dydx with the y integral limits from 0 to 2-x and the x integral limits from 0 to 2. I tried solving it using UV substitution.
 
Originally posted by: jmcoreymv
I just had this problem on a midterm, and I came up with some whacked out answer and I wanted to see if someone else could solve it

integral of (y+3x)^(1/3) * (x+y)^(1/2) dydx with the y integral limits from 0 to 2-x and the x integral limits from 0 to 2. I tried solving it using UV substitution.
Click to expand...

I would help but do to alcohol consumption my calculations might be a little off 😀

Sysadmin
 
Im pretty positive its supposed to be solved using uv substitution. I just always have trouble determine the new area for the limits of the u and v variables. I believe i set u = y+3x and v = x+y and went from there and ended up getting a shape to enclose with v=2 u=v and v=-u/3. My jacobian also came out to 1 which seemed very nice.
 
Turns out the crazy ass answer I got was right and the professor said he just made a mistake when he made the problem and made it way too hard.
 
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