The values of a function $f(x)$ at different values of x are as follows: $x : \; 0\; 1\; 2\; 3\; 4\; 5\; \qquad f(x):\; 2\; 3 \; 6\; 11\; 18\; 27$ Then the approximate area (in square units) bounded by the curve $y=f(x)$ and X-axis between $x=0$ and 5, using Trapezoidal rule, is :

Question

$(a)\;50\qquad(b)\;75 \qquad(c)\;52.5 \qquad(d)\;62.5$