Question

Evaluate the work done by the vector field: I = int_{r} [(e^xy+cosxsiny)dx + (e^{x}+sinxcosy)dy] between the pointsA(pi/3; pi/2) and B(5pi/6; 3pi/4). Make an independent decision about the most convenient path of integration T. Present your result both in the exact and approximate forms (up to two decimal places in the latter case).Hint: Find rst what is the vector eld and check whether it is conservative or not? Then, make a decision, how this integral can be evaluated.