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Numerical Integration with Simpson's Rule
Worksheet
Grade Level
Calculus II
CAL2.52 Numerical Integration with Simpson's Rule
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A student plans to approximate ∫_-2
2
(1/(1 + e^(-x))) dx with composite Simpson's Rule using n = 8. Which statement is mathematically correct? Round any approximation to three decimals.
A
Use Simpson's Rule: h = 0.5, n = 8 is even, and S_8 ≈ 2.000.
B
Use Simpson's Rule with all interior weights equal to 2, giving h/3 times endpoints plus 2 times every interior value.
C
Do not use Simpson's Rule because n = 8 is even; use only left rectangles.
D
Use h = 0.5714 because Simpson's Rule divides by n - 1.
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