The table below gives values of the function \( f(x) = \frac{1}{x} \) at 5 points of \( x \).} \[ \begin{array}{|c|c|c|c|c|c|} \hline x & 1 & 1.25 & 1.5 & 1.75 & 2 \\ \hline f(x) & 1 & 0.8 & 0.6667 & 0.57143 & 0.5 \\ \hline \end{array} \] The approximate value of \( \int_1^2 \frac{1}{x} \, dx \) using Simpson’s \( \left( \frac{1}{3} \right) \)rd rule is:
The table below gives the values of \( f(x) \) at five equidistant points of \( x \):
Then the approximate value of \( \int_0^2 f(x) \, dx \) by Trapezoidal Rule is: