So let's say my first parametrization, I have x of t is equal to t.

So this is going to be the integral from t equals a to t equals b, of p of p of x, really, instead of writing x, y, it's x of t, right? x as a function of t, y as a function of t.

And it merges the stop sign and yield signs.

And this is almost superficially easy.

If this was just an F of s, what would f of t be?

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We saw, well, what if we took the Laplace transform of e to the I'll call it 1t.

Let me do it on the side.

And that's what we got there.

This is the Laplace transform of f of t.

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And it's the integral of e to the minus s, but now instead of a t, we have the substitution.

Let's say that that is f of t.

So if our inverse Laplace transform of that thing that I had written is this thing, an f of t, f of t is equal to e to the t cosine of t.

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UDP port for NAT T

So, just in conclusion, a few shots.

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These two cancel out, va minus va.

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The Laplace, which is equal to 0 to infinity e to the minus st f of t dt.

We'll get dr is equal to x prime of t dt times the unit vector i plus y prime of t times the differential dt times the unit vector j.

Minus 0.

So we're going to move these dots over here and get

Now we took the anti derivative.

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Faraday

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