- #1
radji
- 9
- 0
Homework Statement
It is evaluating a surface integral.
Homework Equations
∫s∫ f(x,y,z) dS = ∫R∫ f[x,y,g(x,y)]√(1+[gx(x,y)]2+[gy(x,y)]2) dA
The Attempt at a Solution
I set z=g(x) and found my partial derivatives to be gx=√x, and gy=0. I then inserted them back into the radical and came up with √(1+x). After integrating with respect to y (dydx) I had the final integral of 2/3 ∫ x5/2(1+x)1/2 dx. Instructor said to do integration by parts twice, which I've done and it still is a non integrable function. U and V keep increasing/decreasing their exponents without simplifying. I can't get wolfram alpha or symbolab to give me an answer either.