Vector field $ \vec F = (3x^2y^3+8x)\vec i + 3x^3y^2\vec j$, along a curve C consisting of two segments C$_1$ and C$_2$.
Line segment C$_1$ given by $y = 0$ and $0 ≤ x ≤ x_0$ and the line segment C$_2$ given by $x = x_0$ and $0 ≤ y ≤ y_0$.
I need help calculating the line integral of:
$V(x_0,y_0) = \int_0\vec F \cdot d\vec r = \int_C ((3x^2y^3+8x)dx + 3x^3y^2dy) $
The boundaries in the segments really throw me off, any help would be very much appreciated.
Thank you very much!