Evaluate the Integral $$\int _ { 0 } ^ { 1 } \frac { 3 x ^ { 3 } + 6 x ^ { 2 } + 7 x + 2 } { ( x + 1 ) ^ { 2 } \left( x ^ { 2 } + 1 \right) } d x$$

question 83

Short Answer

Evaluate the integral.
$$\int _ { 0 } ^ { 1 } \frac { 3 x ^ { 3 } + 6 x ^ { 2 } + 7 x + 2 } { ( x + 1 ) ^ { 2 } \left( x ^ { 2 } + 1 \right) } d x$$

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Definitions:

Abbreviation

A shortened form of a word or phrase.

Path

A track or way worn by foot traffic or formed by animal or human passage.

Bursa

A fluid-filled sac located near joints that reduces friction between moving parts of the body, such as muscles and tendons.

Bursus

Likely a misspelling of "Bursa," which is a small fluid-filled sac located near the joints that reduces friction between moving parts.