(adsbygoogle = window.adsbygoogle || []).push({}); 1. The problem statement, all variables and given/known data

Compute the line integral of the scalar function.

f(x,y,z) = x[itex]e^{z^2}[/itex], piecewise linear path from (0,0,1) to (0,2,0) to (1,1,1)

2. Relevant equations

3. The attempt at a solution

In this problem, all I need is a parametrization. First I drew the line from (0,0,1) to (0,2,0) xyz-plane. I got the slope as z = 1 - [itex]\frac{y}{2}[/itex]. So I set y = t then z will be 1 - [itex]\frac{t}{2}[/itex]. I got parametrization as c(t) = <0,t,1-[itex]\frac{y}{2}[/itex]>. But it's wrong. It's c(t) = <0,2t,1-2t>. Would anyone help me how to get parametrization ??

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# Setting up parametrization

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