$\text { Find the value of the line integral }$

question 34

Multiple Choice

$\text { Find the value of the line integral }$$\int_{C} y^{3} d x+3 x y^{2} d y$ (Hint: If $\mathbf { F } ( x , y ) = y ^ { 3 } \mathbf { i } + 3 x y ^ { 2 } \mathbf { j }$ is conservative, the integration may be easier on an alternate path.)

• A) 243
• B) 192
• C) 108
• D) 0
• E) 12

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Definitions:

Isokinetic

Pertaining to muscle action with a constant speed of contraction, often used in physical therapy and exercise testing.

Isotonic

Refers to exercises or contractions where the muscle changes length as it contracts, commonly associated with lifting weights.

Anaerobic

A type of exercise or biological process that occurs in the absence of oxygen, often leading to the production of lactic acid.

Aerobic Fitness

The ability of the heart, lungs, and circulatory system to supply oxygen efficiently during sustained physical activity.