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Evaluate the Line Integral Over the Given Curve C C(3x+7y3)ds\int _ { C } \left( 3 x + 7 y ^ { 3 } \right) d s

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Evaluate the line integral over the given curve C. C(3x+7y3) ds\int _ { C } \left( 3 x + 7 y ^ { 3 } \right) d s ; C:r(t) =(t3) i+tjC : \mathbf { r } ( t ) = ( t - 3 ) \mathbf { i } + t \mathbf { j } , 0t30 \leq t \leq 3


Definitions:

Nyctophobia

An intense fear of darkness or the night, which can cause significant psychological distress.

Paranoia

A mental condition characterized by delusions of persecution, unwarranted jealousy, or exaggerated self-importance, typically elaborated into an organized system.

-noia

A suffix used in psychology to denote types of mental disorders or excessive fears.

Schizophrenic

Relating to schizophrenia, a psychiatric disorder characterized by disruptions in thought processes, perceptions, emotional responsiveness, and social interactions.

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