(adsbygoogle = window.adsbygoogle || []).push({}); [SOLVED] Simple parametrized line integral

This is from an example in my text book. They want you to evaluate the line integral:

[tex] \int_{C} y dx + 2x dy [/tex]

for the straight line segment in the plane from A(1, 1) to B(2, 4).

The example says that this segment can be parametrized as x = 1 + t, and y = 1 +3t, [tex] 0 \leq t \leq 1 [/tex]. I don't know as much about parametrization as I should, so I assume I'm missing something simple here. How are they able to set up x(t) and y(t) ?

Also, could someone explain the point of a line integral. My book shows that it can be used to find the mass of a wire given the density function of the wire. Is this all it's used for?

Any help is appreciated.

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# Homework Help: Simple parametrized line integral

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