Application of Integrals
For a point Pin the plane, let d1(P)andd2(P)be the distances of the point Pfrom the lines x−y=0andx+y=0respectively. The area of the region Rconsisting of all points Plying in the first quadrant of the plane and satisfying 2≤d1(P)+d2(P)≤4,is
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Find the area bounded by the curve y=cosxbetween x=0and x=2π.
The area of the region of the plane bounded by max(∣x∣,∣y∣)≤1andxy≤21
431squ˙nits (d) 1+21n2squ˙nits
Find the area of the closed figure bounded by the curves y=x,y=4−3xandy=0
the area between the curves y=x2 and y=4x is
The area enclosed by the curve y=4−x2,y≥2sin(22xπ)
, and the x-axis
is divided by the y-axis
in the ratio.
Find the area bounded by curves (x−1)2+y2=1and x2+y2=1.
Find the area bounded by y=x2−2x+21
The area bounded by the loop of the curve 4y2=x2(4−x2)
7/3 sq. units (b) 38squ˙nites