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Maths-

General

Easy

Question

The area bounded by the curve with y = 1+ $fraction numerator text 8 end text over denominator text x end text to the power of 2 end exponent end fraction$ , X-axis and ordinates at x=2 and x=4 in sq. units is

4
2
1/2
5

The correct answer is: 4

$y equals 1 plus fraction numerator 8 over denominator x to the power of 2 end exponent end fraction comma blank x minus a x i s blank rightwards double arrow y equals 0$
$x equals 2 comma blank x equals 4$
$R. A equals blank not stretchy integral from 2 to 4 of open parentheses 1 plus fraction numerator 8 over denominator x to the power of 2 end exponent end fraction close parentheses d x$
$equals open parentheses x minus fraction numerator 8 over denominator x end fraction close parentheses subscript 2 end subscript superscript 4 end superscript$
$equals open parentheses 4 minus 2 close parentheses minus open parentheses 2 minus 4 close parentheses$
$equals 2 plus 2$
=4

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