another question on line integral
i have to evaluate the line integral
∫c (xy)^2 dx + xy^2 dy
where c is closed curve formed by x=1 and y^2=x
for this question. i drew a diagram which has three sides.
c1 : x=1, y=t, 0<t<1
c2 : x=t, y=0, 0<t<1
c3 : x=t , y=x^1/2 , 0<t<1
the book says the answer is 4/15. but i keep getting wrong answers
where did i make mistake??