Use the Trapezoidal Rule, the Midpoint Rule, and Simpson's Rule to approximate the given integral with the specified value of n. x3 sin(x) dx, n = 8
1) The Trapezoidal Rule
2) The Midpoint Rule
3) Simpson's Rule

Step-by-step explanation:

using the given integral

calculate:  Δx = (12-0) / 8 = 3/2

Xo = 0,   f(x) =

X1 = 3/2 ,   X2 = 3, X3 = 9/2,  X4 = 6,  X5 = 15/2,  X6 = 9,  X7 = 21/2,  X8 = 12

Inputting the given values into the Trapezoid rule, midpoint rule and Simpson's rule to approximate the given integral with the specified value of n = 8

step-by-step explanation: a reaction is first order. if the initial reactant concentration is 0.0200 m, and 25.0 days later the concentration is 6.25 x 10-4 m, then its half-life is: