" integration "

 [ "integration" ]

1: 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.

  * e.g.,  ... 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). 

 [ "integration" ]

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

  * e.g.,  ... Integration sucked when Elvis was around 

 [ "integration" ]

1: A mixing of some sort.

  * e.g.,  ... (Fruit poisoning) <------not good 

 [ "integration" ]

1: the reverse process of differentiaton

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

 [ "integration" ]

2: we know that, for example if f(x) = 2x^3 - 5x^2 + 3x -7

  * e.g.,  ... y = 12((x^3)/3) + 4((x^2)/2) - 5((x^1)/1) 

 [ "integration" ]

3: then f'(x) = 6x^2 - 10x + 3

  * e.g.,  ... It would seem that 

 [ "integration" ]

4: This process can be reversed.

  * e.g.,  ... y=4x^3 + 2x^2 - 5x 

 [ "integration" ]

5: In general, y = x^n -> dy/dx = nx^(n-1)

  * e.g.,  ... but that is not quite the complete answer 

 [ "integration" ]

6: So, reversing this process, it would seem that dy/dx = x^m -> y = (1/(m+1))x^(m+1)

  * e.g.,  ... Whenever you differentiate a constant you get zero, 

 [ "integration" ]

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

  * e.g.,  ... e.g. y = 7 dy/dx = 0 

 [ "integrity" ]

1: Doing the right thing even when nobody's looking.

  * e.g.,  ... 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" ]

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

  * e.g.,  ... 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" ]

1: 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.

  * e.g.,  ... A: I thought of an Integral! There were so many garbage cans on the beach it actually made the beach look less clean. 

 [ "Integral" ]

2: Despite popular belief, this does not include things that are broken, such as something that doesn't work or is used improperly.

  * e.g.,  ... 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. 

 [ "Integral" ]

1: The inverse of the derivatives. Learned in calculus

  * e.g.,  ... The integral of acceleration is velocity 

 [ "Integrity" ]

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

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

 [ "Integrate" ]

1: 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.

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