Application of Integrals
Find the area of the region bounded by the two parabolas y=x2and y2=x.
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Area enclosed by the curve y=f(x) defined parametrically as x=1+t21−t2,y=1+t22t is equal
Find the area bounded by y2≤4x,x2+y2≥2x,andx≤y+2
in the first quadrant.
Using integration, find the area of the region bounded by the line y−1=x,thex−aξs
and the ordinates x=−2andx=3.
Find the area enclosed by the parabola 4y=3x2
and the line 2y=3x+12.
Find the area enclosed between the parabola y2=4axand the line y=mx.
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 bounded by the curve y=sinx between x=0 and x=2π.
The area bounded by the y-axis, y=cosxand y=s∈xwhen 0≤x≤2πis(A) 2(2−1) (B) 2−1 (C) 2+1 (D) 2