Find the Integral Using an Appropriate Trigonometric Substitution $$\int \frac { x ^ { 3 } } { \sqrt { x ^ { 2 } + 36 } } d x$$

question 138

Short Answer

Find the integral using an appropriate trigonometric substitution.
$$\int \frac { x ^ { 3 } } { \sqrt { x ^ { 2 } + 36 } } d x$$

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Definitions:

Morality

The differentiation of intentions, decisions, and actions between those that are distinguished as proper and those that are improper, often guided by cultural, societal, or personal beliefs and values.

Internalized

Incorporated within the self, often referring to beliefs, attitudes, or norms that become part of an individual's value system.

Preconventional

The first level of Kohlberg's stages of moral development, where behavior is motivated by anticipation of pleasure or pain.

Kohlberg

Refers to Lawrence Kohlberg, a psychologist known for his theory of moral development, which posits that moral reasoning progresses through six stages.