Question

use a 6th degree maclaruin polynomial to approx the value of the integral from 0 to 1 of sin(x^2)dx. WHat is the max error of this approx?

i got 1/6.

Answer 1

sin(x^2) = x^2 - x^6/6 + x^10/120 - ...
now just integrate that term by term then you can find R(x)