Evaluate the Integral $\int _ { 2 } ^ { 3 } \frac { x } { \left( x ^ { 2 } - 2 \right) ^ { 2 } } d x$

question 44

Short Answer

Evaluate the integral.
- $\int _ { 2 } ^ { 3 } \frac { x } { \left( x ^ { 2 } - 2 \right) ^ { 2 } } d x$ Enter just a reduced fraction of form $\frac { a } { b }$ .

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Definitions:

First lumbar vertebra

The topmost vertebra of the lumbar section of the spine, which supports the lower back.

Gyri

The ridges of brain matter between the sulci; also called convolutions.

Sulci

The grooves on the surface of the cerebrum.

Gray matter

The dark-colored regions of the brain and spinal cord consisting mainly of neuronal cell bodies and dendrites, involved in processing and integrating information.