15 cos(x2) dxintegral. gif0(a) find the approximations t8 and m8 for the given integral. (round your answer to six decimal ) 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 ) 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.)