Wed May 21 22:34:34 2025 

midpoint_quad_test():
  R version 4.1.2 (2021-11-01) 
  midpoint_quad() estimates an integral using the midpoint method.

  f(x) = x^2

  midpoint_quad ( f,  0 , 1 , m =  2  ) =  0.3125 
  midpoint_quad ( f,  0 , 1 , m =  10  ) =  0.3325 
  midpoint_quad ( f,  0 , 1 , m =  100  ) =  0.333325 
  midpoint_quad ( f,  0 , 1 , m =  1000  ) =  0.3333332 

midpoint_quad_test
  Normal end of execution.
Wed May 21 22:34:34 2025