See attached file for full problem description.
Determine the values of n and h required to approximate the integral of xlnxdx in [1, 2]
to within 10-5 and compute the approximation.
a. Use composite Trapezoidal rule.
b. Use the composite Simpson's rule.
c. Use the composite Midpoint rule.
The solution shows the detailed calculations of errors in numerical integration by three different methods: composite Trapezoidal rule, composite Simpson's rule, and composite Midpoint rule.