1. Use the known Maclaurin Power Series expansion of cosx to find the power series expansion of x^(2)cosx^(2)
2. Use the power series expansion of x^(2)cosx^(2) to find the integral \int_0^1 x^(2)cosx^(2)dx as a power series
3. Find the approximation of the above integral using the first three terms of the series. What is the estimate of the error. No need to simplify