Problem 1381 (difficulty: 3/10)

Let \(\displaystyle \gamma: [0,2]\to \R^2\), \(\displaystyle (t)\mapsto (t,t^2)\). Compute the \(\displaystyle \int_{\gamma} (-y,x)\ \hbox{d}g\) line integral where \(\displaystyle g\) is the identity function.

Give me another random problem!