Q. 45.0( 4 Votes )

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

Answer :

Area of the region bounded by the curve y=f(x), the x-axis and the ordinates x=a and x=b, where f(x) is a continuous function defined on [a,b], is given by .

Required Area

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Find the area of the circle 4x^{2} + 4y^{2} = 9 which is interior to the parabola x^{2} = 4y.

**OR**

Using integration, find the area of the triangle ABC, coordinates of whose vertices are A(4, 1), B(6, 6) and C(8, 4).

Mathematics - Board PapersSketch the graph of y =|x + 3| and evaluate the area under the curve

y =|x + 3| above x-axis and between

x = – 6 to x = 0

Using integration, find the area of the region bounded by the triangle whose vertices are (-1, 2), (1, 5) and (3, 4).

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