Application of Integrals
Find the area enclosed between the parabola y2=4axand the line y=mx.
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The area of the circle x2+y2=16exterior to the parabola y2=6xis(A) 34(4π−3) (B) 34(4π+3)(C) 34(8π−3) (D) 34(8π+3)
In Figure, AOBA is the part of the ellipse 9x2+y2=36in the first quadrant such that OA=2andOB=6. Find the area between the arc AB and the chord AB.
Area lying between the curve y2=4x and y=2x is
Using integration, find the area of the region bounded by the lines y=1+∣x+1∣,x=−2,x=3 and y=0.
Find the area of the region bounded by y2=9x,x=2,x=4and the x-axis in the first quadrant.
Find the area bounded by the curve x2=4yand the line x=4y2.
Find the area of the region included between the parabola y2=4x and the circle x2+y2−8x=0, lying in the first quadrant.
the area between the curves y=x2 and y=4x is