- #1

lep11

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## Homework Statement

Let ##f(x,y)=(xy,y)## and ##\gamma:[0,2\pi]\rightarrowℝ^2##,##\gamma(t)=(r\cos(t),r\sin(t))##, ##r>0##. Calculate ##\int_\gamma{f{\cdot}d\gamma}##.

## Homework Equations

## The Attempt at a Solution

The answer is 0. Here's my work. However, this method requires that you are familiar with some useful trig identities.

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Could someone please take a look at it and check if it's correct? Are there alternative ways? I have also tried to find the potential function ##u##, ##\nabla{u}=f##...

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