Examples of using Integrals in English and their translations into Polish
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So just to summarize everything up, when you're dealing with line integrals over vector fields,
And this might all look a little bit familiar, because we did it… We went through a very similar exercise… in two dimensions when we talked about line integrals.
Actually, this might be an easier way to think about these type of integrals than what I did in the last presentation.
Well, the neat thing and we see this multiple times is when you're evaluating integrals, scalars can go in and outside of the integral very easily.
It can be used to approximate integrals by finite sums,
But I like to do it because I think it will give you the intuition on what's going on when we take our surface integrals.
Because the sequence is bounded, the contribution to the integrals of the small set can be made arbitrarily small,
to reduce the analytically intractable path integrals of the continuum theory to a very difficult numerical computation which is then carried out on supercomputers like the QCDOC which was constructed for precisely this purpose.
And so the way that we're going to tackle this is to actually break up this area into two different improper integrals, one improper integral that describes this area right over here in blue from negative infinity to 0.
the other- these occur for example in the modern theory of integrals of the second and third kinds such as the Weierstrass zeta function,
He has written several books on theoretical physics, the most notable of which, Path Integrals in Quantum Mechanics,
continued fractions and integrals.
because I always forget this, and with the primes and the integrals and all that, I always forget it.
Graphing functions; Integrals; Functions,
the value of any of the integrals may be infinite.
But the real difficulty with triple integrals is-- and I think you will see that your calculus teacher will often do this-- when you're doing triple integrals,
Enter the initial x-value or expression for the integral, for example 2 or pi/2.
Expressorion The Little Prince, the integral(this video or text)
And that's why you get a negative integral.
that's another way to write my integral.