Application of Integrals
Using integration find the area of region bounded by the triangle whose vertices are (1, 0), (2, 2) and (3, 1).
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Find the area of the region in the first quadrant enclosed by x axis ,
the line x=3 y
and the circle x2+y2=4.
The area between x=y2and x=4 is divided into two equal parts by the line x=a, find the value of a.
Find the area of the region bounded by the curves y=x2+2, y=x,x=0andx=3.
Find the area of the region bounded by the curve y=x2
and the line y = 4
Statement 1 : The area bounded by 2≥max∣x−y∣,∣x∣y|˙
is 8 sq. units.
Statement 2 : The area of the square of side length 4 is 16 sq. units.
Find the area of the region bounded by y2=9x,x=2,x=4and the x-axis in the first quadrant.
Find the area of the region lying in the first quadrant and bounded by y=4x2,x=0,y=1andy=4.