Basically we are given the following function f(x,y,z) = y sin^2 x + zx^2 cosy
along the path from the point (0,0,0) to (1,1,1) along a straight line between these two points..
So am i right in thinking: we are looking for integral of f ds
so paramatise it as x=t y=t z=t
dt = root 3 ds
so it is root 3 times integral from 0 to 1 of t sin^2 t + t^3 cos y dt?
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- Thread Starter
- 02-02-2010 22:16
- 02-02-2010 22:25
Yeah that looks like a good way of doing it. Question was pretty conveniently written to allow you to get away without doing any vector calculus shame...