Find the approximations Tp, M, and S, for n 6 and 12. Then compute the corresponding errors ET, EM, and Es. (Round your answers to six decimal places. You may wish to use the sum command on a computer algebra system.) 4 19 E dx Vx Tn Mn Sn 40.545350 x 23.270153 23.270153 6. 12 ET EM Es 6. 23.270153 23.270153 23.270153 12 What observations can you make? In particular, what happens to the errors when n is doubled? As n is doubled, Er and EM are decreased by a factor of about |, and Es is decreased by a factor of about

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Numerical Integration

In a mathematical investigation, numerical integration comprises a wide group of calculations for computing the mathematical estimation of definite integral, and likewise, the term is moreover in some cases used to depict the numerical solution of differential equations. The most important aspect of this theory is error analysis.