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Question

The area (in sq. units) of the region bounded by the parabola, y=x2+2 and the lines y=x+1,x=0 and x=3, is:

A
152
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B
212
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C
174
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D
154
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Solution

The correct option is A 152

Area of the shaded region
=30(x2+2)dx30(x+1)dx
=[x33+2x]30[x22+x]30
=(9+600)(92+30)
=152 sq. units

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