Application of Integrals
Find the area lying above x-axis and included between the circle x2+y2=8xand the parabola y2=4x.
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Using the method of integration find the area of the region bounded by lines:2x+y=4,3x2y=6and x3y+5=0
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.
Sketch the graph of y=∣x+3∣and evaluate∫−60∣x+3∣dx.
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.
Find the area bounded by the curve y=cos,x− axis and the ordinates x=0 and x=2π.
Find the area of the region bounded by the line y=3x+2, the x-axis and the ordinates x=1andx=1.
Determine the area under the curve y=a2−x2, included between the lines x=0 and x=a.
Using integration find the area of region bounded by the triangle whose vertices are (1, 0), (2, 2) and (3, 1).