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Anti-derivative


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April 1st, 2006 23:57
#1

tomzx

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Registered: 20/07/05 @ 19:04
Posts: 160


Here's the equation:


One of my friend had this problem and I didn't want to take too much time on it. Have fun.
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April 2nd, 2006 12:41
#2

robert_ak


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Registered: 20/07/05 @ 17:00
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Quoting tomzx:

Here's the equation:


One of my friend had this problem and I didn't want to take too much time on it. Have fun.


Use:
u = sin(4x) dv = e^(2x)dx
dv= 4cos(4x)dx v = .5*e^(2x)

Do: uv - INT[v du]

You will get something with cos(4x). Redo the substitution:

u = cos(4x) dv = e^(2x)dx
dv= -4sin(4x)dx v = .5*e^(2x)

Do: uv - INT[v du] again

You will get the terms "INT[e^(2x)*sin(4x)]dx" on both sides of the equation: isolate and you will get the answer.

I'll try writing the whole solution here soon.

It should give you: -1/5*e^(2x)*cos(4x)+1/10*e^(2x)*sin(4x)
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April 2nd, 2006 14:08
#3

3hirty6ix


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Registered: 25/07/05 @ 17:43
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O BOY

integration by parts
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April 3rd, 2006 22:30
#4

damaged


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what is all this
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April 3rd, 2006 22:52
#5

robert_ak


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Quoting damaged:

what is all this
integral calculus
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April 6th, 2006 23:40
#6

ga__S


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Registered: 06/08/05 @ 18:00
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i can't see the function
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April 7th, 2006 18:05
#7

tomzx

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Registered: 20/07/05 @ 19:04
Posts: 160


thx, but a bit late, found out myself
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April 7th, 2006 20:29
#8

ga__S


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Registered: 06/08/05 @ 18:00
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What about this one?



I dunno if it will stay on their website but..
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April 9th, 2006 10:21
#9

3hirty6ix


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Registered: 25/07/05 @ 17:43
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cant see shit captain
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