# 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.
If a function f(x) has an anti-derivative F(x), the area under the curve from a to b is equal to F(b)-F(a).

This is integration defined.
by MIT 2010 January 14, 2007
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# integration

A mixing of some sort.
(Fruit poisoning) <------not good
by conk April 5, 2004
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# integration

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.
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.
by hotgirl69xxx December 22, 2004
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# integration

the mixing of blacks and whites during the 30's and 40's
Integration sucked when Elvis was around
by Atticus Coon March 7, 2005
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# integrity

Doing the right thing even when nobody's looking.
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.
by FF April 20, 2005
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# integrity

Something nobody has on the internet

Doing the right thing even when people aren't looking
nobody has any integrity on the internet, you are all annoying faggots
by FuckinFurry January 28, 2019
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# integrity

Adherence to moral and ethical principles; soundness of moral character; honesty.
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!
by Michelle Jane November 13, 2006
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