Given.
1 17 cos(x2) dx
integral. gif
0
do the following.
(a) find the approximations t8 and m8 for the given integral. (round your answer to six decimal places.)
t8 =
m8 =
(b) estimate the errors in the approximations t8 and m8 in part (a). (use the fact that the range of the sine and cosine functions is bounded by ±1 to estimate the maximum error. round your answer to seven decimal places.)
|et| ≤
|em| ≤
(c) how large do we have to choose n so that the approximations tn and mn to the integral are accurate to within 0.0001? (use the fact that the range of the sine and cosine functions is bounded by ±1 to estimate the maximum error.)
n ≥ for tn
n ≥ for mn