Evaluate the Integral $\int _ { 0 } ^ { 1 } x ^ { 2 } \ln ( x + 9 ) d x$

question 79

Multiple Choice

Evaluate the integral. $\int _ { 0 } ^ { 1 } x ^ { 2 } \ln ( x + 9 ) d x$

• A) \(\frac { 730 \ln 10 - 729 \ln 9 } { 3 } - \frac { 623 } { 18 }\)
• B) \(\frac { 730 \ln 10 - 729 \ln 9 } { 3 } - \frac { 623 } { 9 }\)
• C) \(\frac { 730 \ln 10 + 729 \ln 9 } { 3 } - \frac { 461 } { 9 }\)
• D) \(\frac { 730 \ln 10 + 729 \ln 9 } { 3 } + \frac { 623 } { 9 }\)
• E) \(\frac { 730 \ln 10 - 729 \ln 9 } { 3 } - \frac { 461 } { 18 }\)

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Definitions:

Dimethyl Ether

An organic compound with the formula CH3OCH3, used as an aerosol spray propellant and a refrigerant.

Boiling Point

The temperature at which a liquid turns to vapor, specific to each substance under given pressure conditions.

Diethyl Ether

A highly volatile and flammable ether used as a solvent and formerly as an anesthetic.

Butan-1-ol

A primary alcohol with the formula C4H9OH, where the hydroxyl group is attached to the first carbon of a four-carbon chain.