So we're done.

Did you just make that come back to life? No.

She went into remission?

What, you mean, like, remission good?

You're showing signs of remission.

And now, we have to go back and find our integration by parts neuron.

That's why they can be difficult to interpret.

And so on our original problem up here, we now know that b is equal to 3, c was equal to 4, and a is equal to 7.

To the 10th power.

l wanna clarify. There are misconceptions about what remission signifies.

He dismissed most of his men.

So that turned out to be a little more than true.

Let's see if we can learn a thing or two about partial fraction expansion, or sometimes it's called partial fraction decomposition.

Thank you. Here comes the answer.

Two minutes, design a maze that it takes one minute to solve.

And all of that over minus 18.

I finished unpacking my room.

So all the work we did so far is just to factor out that x to the third minus 8, but now we can actually do some partial fraction expansion, or partial fraction decomposition.

layers in here.

Mr. Murch, how long will it take to disassemble everything and prepare it for transport?

Well, now we have another hairy integral we need to solve.

And once again, you could bring the 13 down so you don't have a fraction over a fraction.

It's gonna be all right.

...breaking down and stripping every component and every system that's ever been installed in every spacecraft on my hangar deck.

I understand and admire your forbearance.

Eight passengers died.

From a fatal disease that had recently gone into remission.

But there's a sense that the integration by parts could be useful, because integration by parts kind of decomposes into a simpler problem.

Disassembled.

The forwards slash marks each division in the reference, and the sequence is read from left to right.

The first group the best one solved everything in 20 minutes.

This is normal. This represents the recursive structure of a grammar.

The big_list we've pulled off Lucretia.

Well, let's go back to this picture.

Today, that all of them!

everything is going to fall into place.

This woman seems to have been in remission.

But it also acts like a kind of relay station that re radiates and redirects information to many other parts of the brain.

But we already learned that the Laplace transform of sine of a t is equal and we did a very hairy integration by parts problems to show that that is equal to a over s squared plus a squared.

Department's not a massive fan of office romance.

When I was a kid, I was always, like, taking apart boxes and stuff.

This is equal to the integral from 0 to infinity of e to the minus st, times f prime of t, dt.

You would read this dn as

Lovely though physical exercise may be, there are other parts to life there's the intellectual side there's the emotional side there's the spiritual side.

So that's that.