These have been giving me some trouble:
1. Use series to approximate the definite integral to within 3 decimal places
The integral from 0 to 1 : xcos(x^3) dx
2. Approximate f by a Taylor polynomial with degree n at the number a. Then use Taylor's inequality to estimate the accuracy of the approximation f(x) is approximately equal to Tn(x) when x lies in the given interval.
a. f(x)= sqrt(x), a=4, n=2, 4 < or equal to x < or equal to 4.2
b. f(x)= e^(x^2), a=0, n=3, 0 < or equal to x < or equal to 0.1
Thanks a lot for any help