Please teach how to solve

6. Assume that sin(x) equals its Maclaurin series for all x. Use the Maclaurin series for sin(7x2) to 0'7I evaluatetheintegral: 0 sin(7x2)dx a. First, find the Maclaurin series for the function f(x)= sin(7x2)? b. Now, integrate the series term by term to evaluate the definite integral; c. Then, use the first two terms to estimate the value of the integral; d. Use Taylor's Theorem/or Alternating Estimation theorem to bound the error for part c