integration Definition| Urban Word Dictionary

integration

Don't listen to the guy above talking about integration. Integration is NOT the reversal of differentiation. That would be the anti-derivative. Integrals and anti-derivatives are NOT the same thing. But they are connected by the Fundamental Theorem of Calculus.

integration

by Atticus Coon on Mar 07, 2005 23:51:20

the mixing of blacks and whites during the 30's and 40's

Example:
Integration sucked when Elvis was around

integration

by conk on Apr 06, 2004 08:43:22

A mixing of some sort.

Example:
(Fruit poisoning) <------not good

integration

by hotgirl69xxx on Dec 23, 2004 09:25:13

the reverse process of differentiaton

we know that, for example if f(x) = 2x^3 - 5x^2 + 3x -7
then f'(x) = 6x^2 - 10x + 3

This process can be reversed.

In general, y = x^n -> dy/dx = nx^(n-1)
So, reversing this process, it would seem that dy/dx = x^m -> y = (1/(m+1))x^(m+1)

The general process of finding a function from its derivative is known as interation.

Example:
Given that dy/dx = 12x^2 + 4x - 5, find an expression for y.

y = 12((x^3)/3) + 4((x^2)/2) - 5((x^1)/1)

It would seem that
y=4x^3 + 2x^2 - 5x

but that is not quite the complete answer

Whenever you differentiate a constant you get zero,
e.g. y = 7 dy/dx = 0
and so the expression for y above could have any constant on the end and still satisfy dy/dx = 12x^2 + 4x - 5
The answer to this example is therefore
y= 4x^3 + 2x^2 - 5x + c, where c is a constant.

integrity

by FF on Apr 21, 2005 11:28:50

Doing the right thing even when nobody's looking.

Example:
Jimmy showed his integrity by not looking at the answers to the test when every other cheating bastard in his class was passing them out.

integrity

by Michelle Jane on Nov 14, 2006 14:05:08

Adherence to moral and ethical principles; soundness of moral character; honesty.

Example:
Having integrity is not lying - in otherwords, doing what you said you would do. OPPOSITE OF INTEGRITY: Telling her you are going to call, and then NOT calling. That's the definition of a Scumbag!

Integral

by Integralty on May 17, 2009 05:32:06

Note:This definition of integral is alternate to the mathematical type of integral.

Something that, by attempting to do its intended task, inadvertently does the opposite.
Despite popular belief, this does not include things that are broken, such as something that doesn't work or is used improperly.

Example:
A: I thought of an Integral! There were so many garbage cans on the beach it actually made the beach look less clean.
B: Nice one!

A: I thought of an Integral! I wanted to have fun so I started drinking, but then I drank too much and I threw up and no longer had fun.
B: That's not an integral! You're just stupid.

Integral

by Don't use your real name, plz on Nov 15, 2018 15:03:37

The inverse of the derivatives. Learned in calculus

Example:
The integral of acceleration is velocity

Integrity

by The Foundation on Sep 24, 2010 00:39:51

Integrity is admitting to a wrong when you think you can still get away with it.

Example:
If you break a cheap glass and the owner did not see you do it, "integrity" will make you fess up.

Integrate

by TheRealSpiritMan on Jan 23, 2023 05:18:35

To take one's own perception and system of thought as not meaning anything and adopt an perspective of non dualistic objective reality of Gods fullness.

Example:
Society repeats the same flaws of a disturbed system, but removing the lens of duality; to integrate, may help bring a needed revolution.

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