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Property 4

The area boun...

Question

The area bounded by the curve $y = 1 + \frac{8}{x^{2}}$ with x-axis and the ordinates at x = 2, and x = 4 is

A

2

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B

3

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C

4

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D

5

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Solution

The correct option is C 4

Required area = $\int_{2}^{4} (1 + \frac{8}{x^{2}}) d x = {[\frac{x - 8}{x}]}_{2}^{4}$
$= (4 - 2) - (2 - 4) = 2 + 2 = 4$

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