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

question 99

Multiple Choice

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

• A) \(\frac { 1 } { 3 } \left( x ^ { 2 } + 36 \right) ^ { 3 / 2 } \sqrt { x ^ { 2 } + 36 } + C\)
• B) \(\frac { 1 } { 3 } \left( x ^ { 2 } + 72 \right) \sqrt { x ^ { 2 } + 36 } + C\)
• C) \(\frac { 1 } { 3 } \left( x ^ { 2 } - 72 \right) \sqrt { x ^ { 2 } + 36 } + C\)
• D) \(\frac { 1 } { 3 } \left( x ^ { 2 } - 36 \right) ^ { 3 / 2 } \sqrt { x ^ { 2 } + 36 } + C\)

Recognize the significance of employment insurance and its function during job transitions.

Identify the role and benefits of employer-sponsored programs and voluntary benefits in compensation packages.

Comprehend the contribution of benefit programs to attracting, retaining employees, and their legality.

Understand the guidelines regarding benefit portability, tax treatment, and their impact on employee motivation.

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