Solve the Problem $| E_ S |$ In Estimating $\int _ { 1 } ^ { 3 } \left( 2 x ^ { 4 } - 2 x \right) d x$

question 400

Multiple Choice

Solve the problem.
-Find an upper bound for $| E_ S |$ in estimating $\int _ { 1 } ^ { 3 } \left( 2 x ^ { 4 } - 2 x \right) d x$ with $n = 6$ steps.

• A) \(\frac { 32 } { 81 }\)
• B) \(\frac { 8 } { 1215 }\)
• C) \(\frac { 4 } { 1215 }\)
• D) 1

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Definitions:

Marrow Cavity

The central, inner part in bones where bone marrow is stored, producing blood cells.

Incomplete Fracture

A type of bone fracture where the bone is cracked but not broken all the way through.

Greenstick Fracture

A type of bone fracture, primarily occurring in children, where the bone bends and cracks instead of breaking completely.

Children

Young human beings typically defined as those who have not yet reached puberty.