Given. 25 cos(x2) dx Do the following. (a) Find the approximations 78 and Mg for the given integral. (Round your answer to six decimal places.) T8 = 22.55832 M8 = 22.6405 (b) Estimate the errors in the approximations 7: and Mg in part (a). (Use the fact that the range of the sine and cosine functions is bound Round your answer to seven decimal places.) IETIS X IEMI S (c) How large do we have to choose n so that the approximations 7, and M, to the integral are accurate to within 0.0001? (Use the fact functions is bounded by +1 to estimate the maximum error.) n 2 for In n 2 for Mn