implementation rules Midpoint rule 𝑀(𝑓)=(𝑏−𝑎)𝑓(𝑎+𝑏2) Trapezoidal rule 𝑇(𝑓)=𝑏−𝑎2𝑓(𝑓(𝑎)+𝑓(𝑏)) Simpson’s rule 𝑆(𝑓)=𝑏−𝑎6(𝑓(𝑎)+5𝑓(𝑚)+𝑓(𝑏)) exact for 𝑛 node up to 𝑛 degree