Find the Integral $$\int \frac { 3 x ^ { 2 } - 7 x - 2 } { \left( x ^ { 2 } + x + 1 \right) ^ { 2 } } d x$$

question 136

Short Answer

Find the integral.
$$\int \frac { 3 x ^ { 2 } - 7 x - 2 } { \left( x ^ { 2 } + x + 1 \right) ^ { 2 } } d x$$

---

Definitions:

Irrational Fear

A fear that is intense and persistent, disproportionate to the actual danger posed, often manifesting without an obvious cause.

Shark Attack

An incident where a shark bites a human or their belongings, often occurring in places where sharks are known to inhabit.

Dog Attack

An aggressive action in which a dog attempts to bite or harm a person or another animal.

Safe Experiences

Safe Experiences refer to activities or situations where individuals feel secure and protected from harm or danger, contributing to a sense of wellbeing.