find the area
a. y^2=-x; x=-2; x=-4
b. x^2 +y+4=0; y=-8 Take the elements of area parallel to the y-axis.
c. x^2 -y+1=0; x-y+1=0 Take the elements parallel to the x-axis.
d. x=4-y^2; x=4-4y
Evaluate the integral between (1,1) and (4,2): [(x+y)dx + (y-x)dy] Along
a) a straight line.
b) straight lines from (1,1) to (1,2) and then to (4,2).
c) the curve x = 2t^2 + t + 1, y = t^2 +1.