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I want help in the line integration of:

Integral( 1 dy + 3 dx ), over the curve C. Where C is the union of two line segments:

Line 1 from point (0,0) to (1, -3)

Line 2 from point (1, -3) to (2,0)

The thing is I do not know what to do with the integrand being composed of constants, as I am only aware of line integral examples with functions in the integand and subsequent substitution with parameterizations.

Hints are welcome, I am stuck upon the integrand substitution with the parameterization of the lines into the constant integrand.

I have C parameterized as:

Line 1: x = t y = -3t t [0,1]

Line 2: x = t+1 y = 3t-3 t [1,2]

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# Homework Help: Line integral w/ constants only only in integrand

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