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Question:
find the area bounded by the curve y=x the axis and the ordinates x=-1 and x=2
Answer:

Required area = 12 y dx

                       = 12 x dx

                       = [x2 /2 1]2

                       = 22 /2 - 1/2

                       = 4/2 - 1/2

                       = 2 - 1/2

                       = 3/2 square units

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