Maclaurin Integration and Term-by-Term Integration
a-Evaluate the integral from 0 to 1/2 of ln(1+x)dx with an accuracy of 10^-4 using techniques of integration and a calculator.
b- Now approximate the integral from 0 to 1/2 of ln(1+x)dx to an accuracy of 10^-4 using the Maclaurin series of ln(1+x) and term-by-term integration. You will have to figure out how many terms of the series must be used. Are the answers to a) and b) very similar numbers?