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(Solved): (10 pts) Use the Trapezoidal rule and Simpson's rule with 2 subintervals, and the 2-point Gaussian ...
(10 pts) Use the Trapezoidal rule and Simpson's rule with 2 subintervals, and the 2-point Gaussian quadrature rule to approximate \[ \int_{1}^{4} \frac{\sin t}{t} d t \] and compute the error using \( 0.81212 \) as the exact value. You don't need to use the error formula for this problem.
Expert Answer
Given integral integrate (sin t)/t dt from 1 to 4 By trapezoidal rule with n=2. int a ^ b f(t)dt= Delta t 2 ( f(t_{0}) + 2f(t_{1}) + 2f(t_{2}) . 2f (t