Let's just worry about the indefinite integral.

Let's just focus on the indefinite integral for now.

Let's say the indefinite integral of x cubed dx.

And when you do the integration by parts, this could be an indefinite integral, an improper integral, a definite integral, whatever.

Welcome to the presentation on the indefinite integral or the antiderivative.

And I'll explain later why this is called the indefinite integral.

Let's say we said y is equal to the indefinite integral of

I won't switch back and forth between the definite and indefinite integral.

Then I want to subtract the indefinite integral of f prime of x.

And we're assuming we're doing the indefinite integral, and we'll evaluate the boundaries later.

So we could say that y is equal to the indefinite integral 2x dx.

Let's say we have the indefinite integral of 1 over 36 plus x squared d x.

So y is equal to the antiderivative essentially, or the indefinite integral of the expression 2x.

Let's say we want to take the indefinite integral of x cosine of x d of x.

If the indefinite integral of 2 to the natural log of x over, everything over x, dx.

But let's just take it for granted right now that an indefinite integral which I just drew here, it's kind of

Indefinite

The Comprehensive Nuclear Test Ban Treaty was an integral part of the indefinite extension of the Treaty on the Non Proliferation of Nuclear Weapons.

Well let's think about a way a systematic way if I didn't do it for you already that we could solve an indefinite integral.

We also wish to see a rigid review mechanism set up to be a safeguard instrument as an integral part of the indefinite extension agreement.

And you'll meet many calculus teachers that will mark this problem wrong if you forget to put the plus c when you do an indefinite integral.

So this will be equal to the indefinite integral, or the antiderivative, of 2 to the now u, so 2 to the u, times 1 over x dx.

So we'll have a minus a squared over s squared, times the integral from 0 well, I said I'm just worrying about the indefinite integral right now, and we'll evaluate the boundaries later. e to the minus st, sine of at, dt.

And the problem he sent me and I hope I pronounced his name right was the indefinite integral of sin of x over the cosine of x squared dx.

But you just have to know at this point what the notation means or what it tells you to really do, which really is just the antiderivative or the indefinite integral.

I'm ordering you on indefinite furlough.

So you're saying Sal, OK, you've showed me some notation, you've reminded me that the derivative of any constant number is 0, but this really doesn't help you solve an indefinite integral.

Integral

I told you ostensible acquittal, or indefinite deferment.

Integral step

Show integral

Integral step

line integral.

At present, accreditation is granted for an indefinite period.

My Government supports the indefinite extension of the NPT.

You see, indefinite acquittal all the documents are annulled.

Ireland wants to see an indefinite extension of the Treaty.

In principle, we support the indefinite extension of the NPT.

Whatever you think that I'll need for a indefinite stay.

We further support an unconditional and indefinite extension of the Treaty.

In the circumstances, Zambia does not support an unconditional indefinite extension.

What is this integral?

This is our integral.

We'd have an integral.

This is an integral.