I have to find the line integral of the following.
$$\int_Cxe^ydx+x^2ydy, C: 0 \leq x \leq 2, y = 3$$
I am trying to understand the concept of line integrals, but in this case, I am confused as to what $C$ really is. Parameterizing both $x$ and $y$, i have $x = t$ and $y = 3$. Following from this, we have:
However, upon checking with my answer key, the answer is $2e^3$. So I am rather stuck here.