Use the green's theorem to calculate the work done by the field [ f (x, y) = -3y^5 i + 5y^2x^3 j ] to move a particle along the circumference [c: x^2 + y^2 = 4] starting from the point (2; 0) and arriving at the point (-2,0).

Converting to polar coordinates, the integral is equivalent to

38+105= 143, 39+104=143, and you will find then adding the numbers on opposite sides, moving inwards yields the answer 138 every time. because of this, you’re going to multiply 138 times the number of pairs, which is 34. therefore, 34*138= 4692(i’m sorry if it’s the wrong numbers, but it’s the right concept)