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For the data,

x    : 0 1 2

f(x) : 8 5 6

the value of  by Trapezoidal rule will be:

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  1. 92
  2. 75
  3. 123
  4. 42

Answer (Detailed Solution Below)

Option 2 : 75
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Detailed Solution

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Concept:

Trapezoidal rule is given by:

where b is the upper limit, a is the lower limit, h is the step size.

Calculation:

Given:

x    : 0 1 2

f(x) : 8 5 6

[f(x)]2:64 25 36

From the above given data n = 2, y0 = 64, y1 = 25, y2 = 36, b = 2, a = 0

By using the Trapezoidal rule we get:

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