Use Simpson's Rule with N = 4 Steps to Estimate $$\int _ { - 1 } ^ { 0 } \sin \pi \mathrm { tdt }$$

question 459

Multiple Choice

Use Simpson's Rule with n = 4 steps to estimate the integral.
- $$\int _ { - 1 } ^ { 0 } \sin \pi \mathrm { tdt }$$

• A) \(- \frac { 1 + \sqrt { 2 } } { 4 }\)
• B) \(- 1 - 2 \sqrt { 2 }\)
• C) \(- \frac { 1 + 2 \sqrt { 2 } } { 6 }\)
• D) \(- \frac { 2 + \sqrt { 2 } } { 6 }\)

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Definitions:

Neuron

Specialized signaling cell in nervous tissue; transmits electrical signals along its plasma membrane and sends chemical messages to other cells via its endings.

Sodium

A soft, silvery-white, highly reactive metallic element, essential for numerous biological processes in animals and humans, particularly in nerve and muscle function.

Potassium

A chemical element with the symbol K, essential for many processes in organisms, especially in nerve function.

Presynaptic Neuron

The neuron that sends a signal across a synapse to another neuron, typically by releasing neurotransmitters.