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Maths-

General

Easy

Question

A curve passes through

Then area bounded by x=1 and x=4 by Trapezoidal rule, is

21 sq. unit
21.5 sq. unit
20.5 sq. unit
None of these

The correct answer is: 21.5 sq. unit

According to Trapezoidal rule,
$not stretchy integral subscript 1 end subscript superscript 4 end superscript y d x equals fraction numerator 4 minus 1 over denominator 3 cross times 2 end fraction open curly brackets 1 plus 2 left parenthesis 4 plus 9 right parenthesis plus 16 close curly brackets equals fraction numerator 1 over denominator 2 end fraction left parenthesis 43 right parenthesis equals 21.5$ sq.unit

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