Use a Table of Integrals to Find the Indefinite Integral $\int \frac { \ln x } { x ( 8 + 5 \ln x ) } d x$

question 25

Multiple Choice

Use a table of integrals to find the indefinite integral $\int \frac { \ln x } { x ( 8 + 5 \ln x ) } d x$ .

• A) \(\frac { 1 } { 25 } [ 5 \ln x - 8 \ln | 8 + 5 \ln x | ] + C\)
• B) \([ 8 \ln x - 5 \ln | 8 + 5 \ln x | ] + C\)
• C) \(\frac { 1 } { 25 } [ 5 \ln x + 8 \ln | 8 + 5 \ln x | ] + C\)
• D) \(\ln 13 x + C\)
• E) \(\frac { 1 } { 13 } \ln x + C\)

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Definitions:

Immediate Reinforcement

The instant reward or punishment following a behavior, influencing the likelihood of that behavior's occurrence in the future.

Cognitive Processes

Mental activities that include thinking, knowing, remembering, judging, and problem-solving.

Operant Conditioning

An instructional process in which the magnitude of a behavior is fine-tuned by using positive or negative feedback.

Variable-ratio

A reinforcement schedule in behavioral psychology where a response is reinforced after an unpredictable number of responses.