Question

The sine-integral function, shown below, is one of the many functions in engineering whose formulas cannot be simplified. There is no elementary formula for the antiderivative of (sin t)/t. Complete parts (a) through (c) below. Si(x) = sint -dt t 0 Click the icon to view more information. a. Use the fact that|f[4), s 1 on 0,5 to give an upper bound for the error that will occur if Si 2] OSNa Na sint -dt is estimated by Simpson's Rule with n= 4. t (Round to five decimal places as needed.)

Answer 1

Answer Error in Composite simpson's rule is geven formula, by the 4 € = Error < (b-a) b Mg 180 where, ha bra is nof subindelvals My mar к сь) here b= a=0 0=4 ha a 8 My=1 (given) &o, Error = € < (4-0) X (m) X(1) 180 5 X E L 1474560 (2-)(180)(84) - E - 0.00020753288 EL 0.00021