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GATE Mechanical 2022 Set 2 | Question: 3

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Consider the definite integral

$$\int_{1}^{2} \left ( 4x^{2} + 2x + 6 \right )dx.$$

Let $I_{e}$ be the exact value of the integral. If the same integral is estimated using Simpson’s rule with $10$ equal subintervals, the value is $I_{S}$. The percentage error is defined as $e = 100\times \left ( I_{e} - I_{S}\right )/I_{e}$. The value of $e$ is

  1. $2.5$
  2. $3.5$
  3. $1.2$
  4. $0$
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