- #1

Jadehaan

- 24

- 0

## Homework Statement

The problem is as follows: Let T be the triangle with vertices (0,1), (1,0), (0,0). Compute the integral [tex]\int\int[/tex][tex]\frac{sin^{2}(x+y)}{(x+y)} dxdy[/tex] by making an appropriate change of variables. (Hint: check #24 Section 15.9)

## Homework Equations

Problem 24 in 15.9 of Stewart Calculus Early Transcendentals: Let f be continuous on [0,1] and let R be the triangular region with vertices (0,1), (1,0) and (0,0). Show that

[tex]\int\intf(x+y)dA[/tex] [tex]=\int_{0}^{1}uf(u)du[/tex]

## The Attempt at a Solution

I am confused at what values I should assign u and v in order to change the variables appropriately. Assuming the answer to #24, I obtained the solution to be (1/2)-(1/4)sin(2)

Thanks for any help or tips that point me in the right direction,

Jim