Application of Integrals
Find the area of the region bounded by the curve y2=4x and the line x=3.
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The area enclosed by the curves xy2=a2(a−x) and (a−x)y2=a2x is
Find the area under the given curves and given lines:(i) y=x2,x=1,x=2and x-axis(ii) y=x4, x=1,x=5and x-axis
the area between the curves y=x2 and y=4x is
Using the method of integration find the area bounded by the curve ∣x∣+∣y∣=1.[Hint: The required region is bounded by lines x+y=1,x−y=1,−x+y=1and−x−y=1]˙
The area of the region bounded by the curve y=ex and lines x=0 and y=e is
The area bounded by the curves y=sin−1∣sinx∣andy=(sin−1∣sinx∣2,where0≤x≤2π,
(d) none of these
Find the area of the region enclosed by the curves y=xlogxandy=2x−2x2˙
Find the area of the smaller part of the circle x2+y2=a2
cut off by the line x=2a