Question
Integrate $f$ over the given curve.$f(x, y)=\left(x+y^2\right) / \sqrt{1+x^2}, \quad C: y=x^2 / 2$ from $(1,1 / 2)$ to $(0,0)$
Step 1
We can parameterize the curve C by setting $x=t$ and $y=t^2/2$. This gives us the parameterization $\mathbf{r}(t) = (t, t^2/2)$ for $0 \leq t \leq 1$. Show more…
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