Evaluate the Following Integrals:
(A) $\int x \sqrt { x ^ { 2 } - 4 } d x$

question 73

Essay

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

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Definitions:

ACT

Acceptance and Commitment Therapy, a type of psychotherapy that encourages individuals to accept their thoughts and feelings rather than fight or feel guilty for them.

Fighting Feelings

The act of opposing or struggling with one's own emotions, often due to perceptions of them being unacceptable or because they conflict with personal values or societal expectations.

Counterconditioning

A behavioral therapy technique that involves replacing an undesired response to a stimulus with a desired response.

ACT Techniques

Refers to Acceptance and Commitment Therapy strategies, which involve accepting one’s emotional experiences and committing to action based on values and goals.