Application of Integrals
Find the area bounded by the curve y=sinx between x=0 and x=2π.
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The area of the region bounded by the y-axis, y=cosx and y=sinx,0≤x≤2π is
Find the area of the smaller region bounded by the ellipse a2x2+b2y2=1 and the line ax+by=1
Find the area of the smaller part of the circle x2+y2=a2cut off by the line x=2a
Find the area of the region bounded by the ellipse 4x2+9y2=1
Find the area of the region bounded by the curve y2=4x and the line x=3.
Evaluate the area bounded by the ellipse 4x2+9y2=1 above the x-axis.
Using integration, find the area of the triangular region bounded by the lines y=2x+1,y=3x+1 and x=4.
Sketch the region lying in the first quadrant and bounded by y=9x2, x=0, y=1 and y=4. Find the area of the region, using integration.