$\text { Use Simpson's Rule to approximate the value of the definite integral } \int _ { 0 } ^ { 8 } 2 \sqrt [ 4 ] { x } d x \text { with }$

question 117

Multiple Choice

$\text { Use Simpson's Rule to approximate the value of the definite integral } \int _ { 0 } ^ { 8 } 2 \sqrt [ 4 ] { x } d x \text { with }$ $n = 8$ . Round your answer to four decimal places

• A) \(16.9283\)
• B) \(22.3017\)
• C) \(21.1805\)
• D) \(24.5441\)
• E) \(18.5139\)

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Definitions:

Properties of Logarithms

Rules that simplify the manipulation and solving of logarithmic equations, such as product, quotient, and power rules.

Vertical Asymptote

A line that a graph approaches but never touches or crosses, representing where the function moves towards infinity or negative infinity.

Logarithm

The power to which a base, such as 10 or e, must be raised to produce a given number; it's the inverse operation to exponentiation.

Natural Logarithm

The logarithm to the base e, where e is an irrational constant approximately equal to 2.718281.