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6²² Che following. 19 cos(x²) dx

6²² Che following. 19 cos(x²) dx

Advanced Engineering Mathematics
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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Given. 19 cos(x²) dx Do the following. (a) Find the approximations Tg and Mg for the given integral. (Round your answer to six decimal places.) Tg = M8 = (b) Estimate the errors in the approximations Tg and Mg 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.) IETI ≤ IEMI ≤ (c) How large do we have to choose n so that the approximations T₁ 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.) nz nz for Tn for Mn
Transcribed Image Text:Given. 19 cos(x²) dx Do the following. (a) Find the approximations Tg and Mg for the given integral. (Round your answer to six decimal places.) Tg = M8 = (b) Estimate the errors in the approximations Tg and Mg 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.) IETI ≤ IEMI ≤ (c) How large do we have to choose n so that the approximations T₁ 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.) nz nz for Tn for Mn
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