Compute the line integral over the curve C

Compute the line integral of F(x,y)=xyi+(3x+2)j over the curve C, the parabolic path from (0,0) to (2,4) with equation y=x^2 for 0 less than or equal to x less than or equal to 2.

line int F dot dr
=line int < xy, 3x+2> dot
=line int dot <1, dy/dx>dx
=line int dot <1,2x> dx
=int (x^3+6x^2+4x) dx
= (1/4)x^4 + 2x^3 + 2x^2, x = 0 to 2
=4+16+8
=28