Evaluate the Integral $\int z ^ { - \frac { 1 } { 5 } } \ln z \mathrm {~d} z$

question 52

Multiple Choice

Evaluate the integral. $\int z ^ { - \frac { 1 } { 5 } } \ln z \mathrm {~d} z$

• A) \(\frac { 4 } { 5 } z ^ { \frac { 5 } { 4 } } \left( \ln z - \frac { 4 } { 5 } \right) + C\)
• B) \(\frac { 4 } { 5 } z ^ { - \frac { 4 } { 5 } } \left( \ln z - \frac { 5 } { 4 } \right) + C\)
• C) \(\frac { 5 } { 4 } z ^ { \frac { 5 } { 4 } } \left( \ln z - \frac { 5 } { 4 } \right) + C\)
• D) \(\frac { 5 } { 4 } z ^ { \frac { 4 } { 5 } } \left( \ln z - \frac { 5 } { 4 } \right) + C\)
• E) \(\frac { 5 } { 4 } z ^ { \frac { 4 } { 5 } } \left( \ln z + \frac { 5 } { 4 } \right) + C\)

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Definitions:

Speech Act Theory

The theory that verbal utterances both state something and do something.

Intentionalist Model

A theory that views communication as the exchange of communicative intentions and views messages transmitted as merely the means to this end.

Encoder-Decoder

A model in communications and information processing that describes the process of transferring information from a sender (encoder) to a receiver (decoder).

Proxemics

The study of how humans use space in communication and the effects that population density has on behavior, communication, and social interaction.