The Student Room Group

Integral

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?

thanks!
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 :tongue: shame...

Latest