3. Since we cannot evaluate 031ex2dx exactly, we will approximate it using Maclaurin polynomials. In your solutions you must write your answers in exact form and not as decimal approximations. (a) Determine P3(x), the 3rd degree Maclaurin polynomial of the integrand ex2. (b) Obtain an upper bound on the error in the integrand if 0x1/3, when the integrand is approximated by P3(x). (c) Find an approximation to the original integral by integrating P3(x). (d) Obtain an upper bound on the error in the integration in part (c). (e) Use MATLAB to verify your calculation in part (a)