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integration problem

01/11/2010 12:08 PM

hi every body

how to calculate the following integration :

int. sin(377t - 30) dx

(I have the final answer but I do not know the steps of integration)

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#1

Re: integration problem

01/11/2010 12:33 PM

Are you sure that's the problem? Ask your teacher about this, cause the answer to what you wrote is

sin(377t - 30) x + C

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#2

Re: integration problem

01/11/2010 12:36 PM

Rusted but I think it used to be = - Cos(377t-30) + C

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#3
In reply to #2

Re: integration problem

01/11/2010 12:56 PM

No TVP is right.

for you to be right it must be

∫sin(377t+30)dt but it is dx

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#6
In reply to #2

Re: integration problem

01/11/2010 2:07 PM

you forgot that there is a factor conditioned by the multiplier of "t".

Your result is OK for ∫sin(t) dt but not for ∫sin(a*t+b)dt

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#4

Re: integration problem

01/11/2010 1:08 PM

I'm sorry , I mean int. sin(377t - 30) dt

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#5
In reply to #4

Re: integration problem

01/11/2010 1:55 PM

OK, since you say you have the right answer, take that and differentiate it. See if you get back to here. Pay close attention to the derivative of the argument.

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#7

Re: integration problem

01/11/2010 2:17 PM

I have the final answer but it is jut a number (limited integration) I have not any formula to differenciat it . (( big problem :) )

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#8
In reply to #7

Re: integration problem

01/11/2010 3:39 PM

Hi voltage,

You must first transform the expression sin(377t-30) to something you can use easier integration methods on.

Start with the general expression:

sin(u - v) = sin(u)Cos(v) - cos(u)sin(v)

Substitute in your expressions (u = 377t and v = 30).

You should then be able to integrate.

Mike

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#9
In reply to #8

Re: integration problem

01/12/2010 12:31 AM

Not necessary

377t-30 = x

differentiate both

... dt = dx

dt = dx/....

subtitute

∫ f(t) dt becomes a simple ∫f'(x) dx

Since it is too obviously a study material, and possibly a homework, I will not solve it totally.

Also since you don't have the formula but the value, the integration seem to be within limits (ie from t = a to t=b)

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#10

Re: integration problem

01/12/2010 8:19 AM

thanks for all

note:it is not a home work , I just need it to minimize some thing in my "power electronics" course .

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