(Steps Shown) Evaluate the scalar line integral ∫_H(x^2+y^2+z^2) d s. where H is the helix given by \vecc(t)=2 cos t \vecimath+2 sin t \vecjmath+2 t \veck,
Question: Evaluate the scalar line integral \(\int_{H}\left(x^{2}+y^{2}+z^{2}\right) \mathrm{d} s\). where \(H\) is the helix given by \(\vec{c}(t)=2 \cos t \vec{\imath}+2 \sin t \vec{\jmath}+2 t \vec{k}, 0 \leq t \leq 2 \pi\)
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