- #1
Chromosom
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Homework Statement
Compute work: [tex]\vec{F}=[\sin y,\sin x][/tex] on bound: [tex]\partial D\colon 0\le y\le x[/tex] and [tex]x^2+y^2\le1[/tex].
The Attempt at a Solution
I have been working with integrals for many years, but this exercise was problematic for me because of the following integral:
[tex]\iint\limits_D(\cos x-\cos y)\,\text dx\,\text dy[/tex]
I tried polar coordinations, but it follows to [tex]\cos(r\sin\theta)[/tex] and similar functions. Is there any easy way to solve it?