Application of Integrals
Find the area enclosed by the ellipse a2x2+b2y2=1.
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Find the area of the region bounded by the curves y2=2y−x and the y-axis.
Find the area, lying above the x=axis and included between the circle x2+y2=8x
and the parabola y2=4x˙
Sketch the region bounded by the curves y=5−x2
and find its area.
The area enclosed by the curves xy2=a2(a−x) and (a−x)y2=a2x is
Find the area bounded by the curve x2=y,x2=−yandy2=4x−3
The area of the region bounded by the curve y=ex
and lines x=0andy=e
Find the area bounded by the curve y=(4−x2), the y-axis and the lines y=0,y=3.
Sketch the region bounded by the curves y=x2andy=1+x22
. Find the area.