Evaluate the Integral by Changing the Order of Integration in an Appropriate

question 59

Multiple Choice

Evaluate the integral by changing the order of integration in an appropriate way.
- $\int _ { 0 } ^ { 64 } \int _ { 0 } ^ { 7 } \int _ { \sqrt [ 3 ] { x } } ^ { 4 } \frac { z } { y ^ { 4 } + 1 } d y d z d x$

• A) \(\frac { 49 } { 8 } \ln 65\)
• B) \(\frac { 49 } { 8 } \ln 257\)
• C) \(\frac { 49 } { 4 } \ln 65\)
• D) \(\frac { 49 } { 4 } \ln 257\)

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Definitions:

Wilhelm Wundt

A German physician, physiologist, philosopher, and professor, known as one of the founders of modern psychology.

William James

An American philosopher and psychologist, often referred to as the father of American psychology, known for his work in pragmatism and functional psychology.

Sigmund Freud

An Austrian neurologist and the founder of psychoanalysis, a clinical method for treating psychopathology through dialogue between a patient and a psychoanalyst.

Twentieth Century

The period from January 1, 1901, to December 31, 2000, marked by significant global changes in culture, technology, and politics.