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Maths-

General

Easy

Question

A curve passes through the points given by the following table :

By Trapezoidal rule, the area bounded by the curve, the x-axis and the lines x=1, x=5, is

310
255
305
275

The correct answer is: 255

Area enclosed by curve = $not stretchy integral subscript 1 end subscript superscript 5 end superscript y d x$
By trapezoidal rule,
$not stretchy integral subscript 1 end subscript superscript 5 end superscript y d x equals fraction numerator 5 minus 1 over denominator 4 cross times 2 end fraction open curly brackets 10 plus 2 left parenthesis 50 plus 70 plus 80 right parenthesis plus 100 close curly brackets equals fraction numerator 1 over denominator 2 end fraction left parenthesis 510 right parenthesis equals 255$
$equals fraction numerator 1 over denominator 2 end fraction left parenthesis 510 right parenthesis equals 255$ sq. unit.

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