Evaluate the Line Integral Over the Given Curve $C$

question 114

Short Answer

Evaluate the line integral over the given curve $C$ .
$$\int _ { C } 2 y ^ { 2 } z d s ; C : \mathbf { r } ( t ) = 10 t \mathbf { i } + \sin 7 t \mathbf { j } + \cos 7 t \mathbf { k } , 0 \leq t \leq \frac { \pi } { 2 }$$

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