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Question

The area of the region {(x,y):0yx2+1,0yx+1,0x2} is

A
116
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B
154
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C
256
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D
236
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Solution

The correct option is C 236
Area =10(x2+1)dx+21(x+1)dx
=[x33+x]10+[x22+x]21
=[13+1]+[222+2][122+1]
=43+4127
=3+56
=236

1048250_1177643_ans_cd3814ae7d43437cbaad9f280aff6619.PNG

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