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Question

f(x)=11+x for 0x1 and the interval [0,1] is divided into 2 equal subintervals. UsingTrapezoidal rule, 1011+xdx=

A
1724
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B
1714
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C
1748
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D
1712
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Solution

The correct option is A 1724

baf(x)dx=ba2N(f(x1)+2f(x2)+2f(x3)+....2f(xN)+f(xN+1))
Since N=2
So,
1011+xdx=12×2[f(0)+2f(0.5)+f(1)]
=14[1+4/3+1/2]
=1724squnits


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