The logarithmic integral is a special mathematical function defined by the equation...

The logarithmic integral is a special mathematical function defined by the equation

For large x, the number of prime integers less than or equal to x is closely approximated by li(x). For example, there are 46 primes less than 200, and li(200) is around 50. Find li(200) with three significant figures by means of the composite trapezoid rule. Determine the number of partition points needed prior to executing the program.