by Coop Dupe December 12, 2019
Get the intellectual property integrity mug.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.
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.
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
Get the integration mug.Related Words
integer
• Integer Correlation
• Integera
• Integeration
• Integerialy
• Islamic integer
• The Wilkinson Integer
• Any number that can be written by dividing one integer by another-in plain English, any number that can be written as a fraction or ratio. (An easy way to remember this is to think of rational’s root word “ratio.”)
• integrity
• integral
by leeenahorn September 20, 2009
Get the integragate mug.Something that certain people in fantasy leagues feel can only be defined by them, AND can only be obtained if you agree with what they say, otherwise you will be called a Fuck Head or a piece of shit.
by F.H.P.O.S. January 8, 2008
Get the integrity mug.Pertaining to an integer.
by DrummerDoug45 February 19, 2012
Get the Integerialy mug.by skiracer February 18, 2010
Get the Integrite mug.The Integra Curse occurs when a P plater drives a Honda Integra and they can't steer because they are noob, resulting in a collision. Beware: some of the victims who are inflicted with this 'awful' curse tell tales about how their drive shaft fell off and how it wasn't their fault.
Indian Bloke: Oiiii bro. my car rammed the barricade and now its written off.
Aussie Bloke: Yeah man, you never drive 90km/s in a residential area /sarcasm.
Indian Bloke: OMG Broo im gonna put my foot in the kent who sold me dis car bro.....
Aussie Bloke: LOL DC0 is a result of the Integra Curse and inexperienced hoons.
Aussie Bloke: Yeah man, you never drive 90km/s in a residential area /sarcasm.
Indian Bloke: OMG Broo im gonna put my foot in the kent who sold me dis car bro.....
Aussie Bloke: LOL DC0 is a result of the Integra Curse and inexperienced hoons.
by shammers91 May 2, 2010
Get the Integra Curse mug.