simpsons-rule

$$ \text { The values of a function } f \text { obtained for different values of } x \text { are shown in the table below. } $$ $$ \begin{array}{|c|c|c|c|c|c|} \hline x & 0 & 0.25...

Consider the definite integral $\int^2_1(4x^2+2x+6)dx$ Let I e be the exact value of the integral. If the same integral is estimated using Simpson’s rule with 10 equal subintervals...

Simpson's $${1 \over 3}$$ rule is used to integrate the function $$f\left( x \right) = {3 \over 5}{x^2} + {9 \over 5}\,\,$$ between $$x=0$$ and $$x=1$$ using the least number of eq...

The integral $$\,\int\limits_1^3 {{1 \over x}\,\,dx\,\,\,} $$ when evaluated by using simpson's $$1/{3^{rd}}$$ rule on two equal sub intervals each of length $$1,$$ equals to

The order of error in the simpson's rule for numerical integration with a step size $$h$$ is

Simpson's rule for integration gives exact result when $$f(x)$$ is a polynomial function of degree less than or equal to ________.