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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Using integration find the area of region bounded by the triangle whose vertices are (1,0),(1,3)and(3,2).
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.
The area inside the parabola 5x2−y=0
but outside the parabola 2x2−y+9=0
Find the area of the region bounded by the two parabolas y=x2and y2=x.
Find the area enclosed by the circle x2+y2=a2.
If the area of bounded between the x-axis and the graph of y=6x−3x2 between the ordinates x=1 and x=a is 19 units, then a can take the value:
(A) 4 or -2
(B) one value is in (2, 3) and one in (-1, 0)
(C) one value is in (3, 4) and one in (-2,-1)
(D) none of these
Find the area of the region bounded by the curve y=x2and the line y=4.