Question: 2. Consider the line integral I= (2xz) dix + (e#+= ) dy + (x2 + ey+= + 1) dz, where C is the curve with

2. Consider the line integral I= (2xz) dix + (e#+= ) dy + (x2 + ey+= + 1) dz, where C is the curve with parametrization r(t) = (t3, 1, t?), te [0, 1]. (a) Compute I directly from the definition of a line integral. (b) Use the Fundamental Theorem for Line Integrals to compute I. You may assume without justifi- cation that the vector field (2xz, ev+z, x2 + ev+= + 1) is conservative

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