The prompt for this question is f(x) =sin(x^2)
A)A. Write the first four terms of the Maclaurin series for f(x)
B)Use the Maclaurin series found in Part A to approximate the integral from 0 to 1 of sin(x^2) dx
C)C. How many terms are needed to find the value of the integral given in Part B, correct to three decimal places? What is that value?
I do not understand anything in this problem and we have a long term substitute who is unable to explain it, please help!