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Find the area of the region bounded by the curve y=x^{2}, the x-axis, and the lines x=1 and x=3.

Find the area of the region bounded by the parabola y^{2}=4x, the x-axis, and the lines x=1 and x=4.

Find the area under the curve y=(above the x-axis) from x=0 to x=2

Determine the area enclosed by curve y=x^{3}, and the lines y=0, x=2 and x=4.

Determine the area under the curve y=, included between the lines x=0 and x=4.

Using integration, find the area of the region bounded by the lines 2y=5x+7, the x-axis and the lines 2y=5x+7, the x-axis, and the lines x=2 and x=8.

Find the area of the region bounded by the curve y^{2}=4x and the lines x=3.

Evaluate the area bounded by the ellipse above the x-axis.

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 bounded by the curve y=(4-x^{2}), the y-axis and the lines y=0,y=3.

Using integration, find the area of the region bounded by the triangle whose vertices are A(-1, 2), B(1,6) and C (3,4)

Using integration, find the area of ΔABC, the equation of whose sides AB,BC and AC are given by

Y=4x+5,x+y=5 and 4y=x+5 respectively.

Using integration, find the area of the region bounded between the line x=2 and the parabola y^{2}=8x.

Using integration, find the area of region bounded by the line y-1=x, the x-axis, and the ordinates x=-2 and x=3.

Sketch the region lying in the first quadrant and bounded by y=4x^{2}, x=0,y=2 and y=4. Find the area of the region using integration.

Sketch the region lying in the first quadrant and bounded by y=9x^{2}, x=0, y=1 and y=4. Find the area of the region, using integration.

Find the area of the region enclosed between the circles x^{2} +y^{2}=1 and (x-1)^{2}+y^{2}=1

Sketch the region common to the circle x^{2}+y^{2}=16 and the parabola x^{2}=6y. Also, find the area of the region, using integration.

Sketch the region common to the circlex^{2}+y^{2}=25and the parabola y^{2}=8x. Also, find the area of the region, using integration.

Draw a rough sketch of the region and find the area enclosed by the region, using the method of integration.

Draw a rough sketch and find the area of the region bounded by the parabolas y^{2}=4x and x^{2}=4y, using the method of integration.

Find by integration the area bounded by the curve y^{2}=4ax and the lines y=2a and x=0.

Find the area between the curve y=, the axis and the ordinates x=0 and x=π.

Find the area of bounded by the curve y=cos x, the x-axis and the ordinates x=0 and x=2π.

Compare the areas under the curves y=cos^{2}x and y=sin^{2}x between x=0 and x=π.

Using integration, find the area of the triangle, the equations of whose sides are y=2x+1, y=3x+1 and x=4.

Find area of region

Find the area of the region bounded by the curve y^{2}=2y-x and the y-axis.

Draw a rough sketch of the curves y=sin x and y=cos x, as x varies from 0 to, and find the area of the region enclosed between them and the x-axis.

Find the area of the region bounded by the parabola y^{2}=2x+1 and the lines x-y=1.

Find the area of the region bounded by the curve y=2x-x^{2} and the straight line y=-x.

Find the area of the region bounded by the curve (y-1)^{2}=4(x+1) and the line y=x-1.

Find the area of the region bounded by the curve y= and the line y=x.

Find the area of the region included between the parabola y^{2} =3x and the circle x^{2}+y^{2}-6x=0, lying in the first quadrant.

Find the area bounded by the curve y=cos x between x=0 to x=2π.

Using integration, find the area of the region in the first quadrant, enclosed by the x-axis, the line y=x and the circle x^{2}+y^{2}=32

Using integration, find the area of the triangle whose vertices are A(2,3), B(4,7) and C(6,2).

Using integration, find the area of the triangle whose vertices are A(1,3), B(2,5) and C(3,4).

Using integration, find the area of the triangular region bounded by the lines y=2x+1, y=3x+1 and x=4.