Evaluate the integral below as an infinite series EXAMPLE 10 (b) Evaluate the integral below correct to within an error of 0.001. 0 SOLUTION (a) First we find the Maclaurin series for f(x) e. Although it's possible to use the direct method, let's find it simply by replacing x with -x2 in the series for e given in Table 1 in the book. Thus for all values of x, n=0 3! 1! Now we integrate term by term 1! 1 5 2! 7 3!
