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SSC Applied Mathematics QUESTION #1306
Question 1
For the Trapezoidal Rule applied to \(\int_1^3\dfrac{1}{x^2}\,dx\) using 5 points, the step size \(h\) is:
  • 0.5✔️
  • 0.25
  • 1
  • 0.4
Correct Answer Explanation
With 5 points on \([1,3]\), there are 4 subintervals. Step size \(h=\dfrac{3-1}{4}=\dfrac{2}{4}=0.5\). The five points are \(x=1.0, 1.5, 2.0, 2.5, 3.0\).