Use the Trapezoidal Rule, the Midpoint Rule, and Simpson's Rule to approximate the given integral with the specified value of n.
1 answer:
Answer:
- -1392.09
- -1744.43
- -1636.41
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
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Answer:
X Y
-5 7
-2 1
-1 -1
2 -7
Step-by-step explanation:
If x = -5, then:
y = -3 -2(-5)
y = -3 + 10
y = 7
If x = -2, then:
y = - 3 -2(-2)
y = -3 + 4
y = 1
If x= -1, then:
y = -3 -2(-1)
y = - 3 + 2
y = -1
If x=2, then:
y = -3 -2(2)
y = -3 -4
y = -7
