Evaluate the Integral to Three Decimal Places $$\int _ { e } ^ { 8 } \frac { d x } { x \ln x }$$

question 33

Multiple Choice

Evaluate the integral to three decimal places. $$\int _ { e } ^ { 8 } \frac { d x } { x \ln x }$$

• A) \(0.732\)
• B) \(0.194\)
• C) \(0.094\)
• D) \(0.533\)
• E) \(0.183\)

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Definitions:

Ming Dynasty

A major Chinese dynasty that ruled from 1368 to 1644, known for its trade expansion to the outside world and cultural achievements such as porcelain, literature, and the building of the Great Wall.

Kinship

A social bond based on common ancestry, marriage, or adoption that forms an intricate network of relationships within societies.

Porcelain

Extremely fine, hard, white ceramic. Unlike stoneware, porcelain is made from a fine white clay called kaolin mixed with ground petuntse, a type of feldspar. True porcelain is translucent and rings when struck.

Terracotta

A type of earthenware clay used in pottery and sculpture, characterized by its brownish-orange color after firing.