Now, if I were to integrate both sides, I get uv this should be review is equal to the integral of u prime v, with respect to dt but I'm just doing a little bit of shorthand now plus the integral of uv prime.

The integral of u prime times v.

UV vectors

UV mapping

So the integration by parts just tells us that the integral of uv prime is equal to uv minus the integral of

The integral of u well, let's say uv prime, because that will match what we have up here better is equal to both functions without the derivitives, uv minus the integral of the opposite.

So we have this integral of u prime v is going to be equal to this, uv minus the integral of uv prime.

So let's apply this.

So let's apply the integration by parts.

This is basically a penis camera on a motor.

Use acrylic paint.

I literally got at the drug store.

So that's minus 1 over s e to the minus st, times v, sine of at, minus the integral.

But the boundary stays.

Integration by parts. uv.

Now, if we take the integral of both sides of this equation, we get uv is equal to the antiderivative of u prime v plus the antiderivative of uv prime.

That equals uv.

Anyway, integral from 0 to infinity.

I'm just rewriting this. e to the minus st s.

And you can see the photoetched brass detailing, and the painted acrylic facade.

And so we made the game, and it has since evolved to a four foot by four foot by four foot

It's times minus 1 s, e to the minus st. e to the minus st, that's the uv term right there.

And this is a sheet of acrylic infused with colorless light diffusing particles.

And another point why I'm here is that the day I went to pick up the Plexiglas trophy,

The coat hanger, I bent it in a specific shape and the top loop goes around your neck and then the bottom loop rests against your chest and it allows me to carry a piece of plexiglass on with a little sheet protector.

When attaching a polarizing plate, set it first and then attach a protective plate (a clear acrylic plate).

And they also decided that I had to to give me a very ugly Plexiglas trophy for it.

You can see that I even made a museum label for it that includes a brief history of the dodo.

So this Laplace transform, which is this, is equal to uv, which is equal to e to the minus st, times v, f of t, minus the integral and, of course, we're going to have to evaluate this from 0 to infinity.

Conductive ink has been used by artists, but recent developments indicate that we will soon be able to use it in laser printers and pens.

Here's the eye with the opaque lens, the opaque lens extracted and an acrylic lens inserted.