Use Simpson's Rule to Approximate the Integral with Answers Rounded $$\int _ { - 1 } ^ { 1 } \sqrt { x ^ { 2 } + 1 } d x ; \quad n = 6$$

question 18

Short Answer

Use Simpson's Rule to approximate the integral with answers rounded to four decimal places.
$$\int _ { - 1 } ^ { 1 } \sqrt { x ^ { 2 } + 1 } d x ; \quad n = 6$$

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Definitions:

Conservation

The knowledge that quantity is unrelated to the arrangement and physical appearance of objects.

Centration

A cognitive limitation in early childhood, where focus is placed on one salient aspect of a situation, neglecting other relevant aspects.

Assimilation

The process by which individuals incorporate new information into existing schemas or frameworks of understanding.

Concrete Operational Stage

A stage in Piaget's theory of cognitive development, where children aged about 7 to 12 years can think logically about concrete events.