Consider the function y = sin(x^2) when answering the following questions.
A. Write the first four terms of the Maclaurin series for f(x).
B. Use the Maclaurin series found in Part A to approximate ∫sin(x^2) [0,1].
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?