Application of Integrals
Find the area of the region bounded by the parabola y=x2 and y=∣x∣.
Find the area bounded by the ellipse a2x2+b2y2=1and the ordinates x=0andx=ae, where, b2=a2(1−e2)ande<1.
Using the method of integration find the area of the region bounded by lines:2x+y=4,3x2y=6and x3y+5=0
Find the area of the region in the first quadrant enclosed by the x-axis, the line y=x, and the circle x2+y2=32.
In Figure, AOBA is the part of the ellipse 9x2+y2=36in the first quadrant such that OA=2andOB=6. Find the area between the arc AB and the chord AB.