Evaluate the Following Integrals:
(A) $\int \frac { \ln x } { x ^ { 2 } } d x$

question 128

Essay

Evaluate the following integrals:
(a) $\int \frac { \ln x } { x ^ { 2 } } d x$ (b) $\int \frac { x ^ { 2 } + x + 1 } { x ^ { 2 } - 1 } d x$ (c) $\int \frac { \cos x } { 4 + \sin ^ { 2 } x } d x$ (d) $\int x ^ { 3 } \sqrt { 4 - x ^ { 2 } } d x$

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Definitions:

Rods

Photoreceptor cells in the retina of the eye, highly sensitive to light, and responsible for vision under low light conditions.

Optic Disc

The point of exit for ganglion cell axons leaving the eye. Because there are no rods or cones overlying the optic disc, it creates a blind spot in visual fields.

Sensory Retina

The part of the retina that contains photoreceptor cells (rods and cones) responsible for converting light into electrical signals for vision.

Macula Lutea

A region in the retina responsible for high-acuity vision where a high concentration of photoreceptor cells are located.