Home /
Expert Answers /
Advanced Math /
use-the-tropezoidal-rule-the-midpoint-rule-and-simpson-39-s-rule-to-approximate-the-given-integrat-pa895
(Solved): Use the tropezoidal rule, the midpoint rule, and Simpson's rule to approximate the given integrat ...
Use the tropezoidal rule, the midpoint rule, and Simpson's rule to approximate the given integrat with the specified value of as, (kound your answers to stx decimal plsces.) \[ \int_{0}^{4} \sqrt{y} \cos (y) d y, \quad n=n \] (a) the traperoidal nie (b) the mispoint rule (c) Simpsonis nive
Use the trapezoidal rule, the midpoint rule, and Simpson's rule to approximate the given integral with the specified \( \int_{0}^{4} \sqrt{y} \cos (y) d y, \quad n=8 \) (a) the trapezoidal rule (b) the midpoint rule (c) Simpson's rule
Expert Answer
The trapezoidal rule is ?abf(y)dy=?y2(f(y0)+2f(y1)+2f(y2)+?+2f(yn?1)+f(yn)) where ?y=b?an Here f(y)=ycos?y,a=0,b=4,n=8 Here we divide the interval [0,