Application of Integrals
The area (in square units) bounded by the curves y=x,2y−x+3=0, x-axis, and lying in the first quadrant is
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Find the area of the region enclosed by the parabola x2=y and the line y = x+ 2.
Find the area bounded by the parabola y=x2+1
and the straight line x+y=3.
The area of the loop of the curve ay2=x2(a−x)
(d) None of these
Find the area of the region bounded by the parabola y=x2 and y=∣x∣.
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 bounded by the curve x2=4yand the line x=4y2.
Consider two curves C1:y2=4[y]xandC2:x2=4[x]y,
where [.] denotes the greatest integer function. Then the area of region enclosed by these two curves within the square formed by the lines x=1,y=1,x=4,y=4
Find the area of the region bounded by the curve y2=4x and the line x=3.