Midpoint 
The midpoint rule computes an approximation to a definite integral,
made by finding the area of a collection of rectangles whose heights are determined by the values of the function.

NewtonCotes 
The NewtonCotes formulae, also called the NewtonCotes quadrature rules or simply NewtonCotes rules,
are a group of formulae for numerical integration (also called quadrature) based on evaluating the integrand at equallyspaced points.

Romberg 
Romberg's method computes an integral by generating a sequence of estimations of the integral value and then doing an extrapolation.

Simpson 
Simpson's rule can be thought of as a special case of Romberg's method.

Trapezoidal 
The Trapezoidal rule is a closed type NewtonCotes formula, where the integral interval is evenly divided into N subintervals.
