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Definition of Circle

The area of t...

Question

The area of the region

${x, y) : 0 \leq y \leq x^{2} + 1, 0 \leq y \leq x + 1, 0 \leq x \leq 2}$

(in sq. units)

A

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B

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C

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D

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Solution

The correct option is C

$A = \int_{0}^{1} (x^{2} + 1) d x + \int_{1}^{2} (x + 1) d x = \frac{23}{6}$

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