Question

1. Find the approximate value of I= = 1 da 1+2 by using (i) Trapezoidal rule and (ii) Simpsons rule. Obtain a bound for the

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Answer #1

Herre Iz S Now we won that internal of integration have to divided in am equal sulointerman Cm EAN) for Simpson Rule. so, altai) Im Sampson Ruk, Tea [Sum of ast and lass ordinate +2 ( sum of all EX3 cewem ordinate) + 4 (Sum of all oled trodimar] 2 (4Now Bound for rapitor dan Rule, ET be the error in trapison dan them 12 m2 whene be the Oppens bound of 1 f (x)} Now a 20, baSo, Bound of essor 24 (1-0) 24 1804 1296 0.000102 1884 64 This is required Bound of

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