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Alright, I give in. Need integration help.


insane

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I've spent 3 hours on this problem, and I'm guessing I'm missing something extremely simple. If any of you know how to integrate functions, I'd be obliged if you could give me a hand.

 

 

 

 

 

 

 

̢̮Ãâ¹Ã¢â¬Â Ãâë [x^3 * ̢̮Ãâ¹Ã¢â¬Â Ãâ¦Ã¡(x^2 + 1)] dx

 

 

 

 

 

 

 

I'm totally stuck. And please don't respond unless you actually know how to integrate :P

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We just started learning integration this week =P.

 

 

 

 

 

 

 

But isn"t there supposed to be a closed interval, like with 2 numbers on the top and bottom of the integral symbol? I guess that must only be with the ones we are doing.

 

 

 

And please dont respond unless you actually know how to integrate :P

 

 

 

I do know how to integrate, just not thise one :anxious: Sorry if you consider this spam

 

 

 

 

 

 

 

Runescape, what was the point of that, cant you read?

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But isn"t there supposed to be a closed interval, like with 2 numbers on the top and bottom of the integral symbol? I guess that must only be with the ones we are doing.

 

 

 

 

 

 

 

That's a definite integral, which returns a value.

 

 

 

 

 

 

 

My question is an indefinite integral, which returns a function.

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X^5 +1 that what i have so far.I'll get back to you when I have a different anwser

 

 

 

 

 

 

 

You are extremely far off, to the point that I don't think you know what integration is.

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X^5 +1 that what i have so far.I'll get back to you when I have a different anwser

 

 

 

 

 

 

 

You are extremely far off, to the point that I don't think you know what integration is.

 

 

 

 

 

 

 

Meh, get on MSN =P. I'm using U-substitution right now, but uh I'm stuck on a step. Might have to review me rules a bit more, but to be honest, so far I really only know how to do just simple anti-derivs and u-subs :(

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Well I think I have it figured out by I have no time to finish it really :P It's integration by parts, that I'm fairly sure of.

 

 

 

 

 

 

 

u = (x^2+1)^(1/2)

 

 

 

v' = x^3

 

 

 

u' = x(x^2+1)^(-1/2)

 

 

 

v = (x^4)/4

 

 

 

 

 

 

 

Integral uv' dx = [ (x^2+1)^(1/2) * (x^4)/4 ] - [(1/4) Integral x(x^2+1)^(-1/2) * (x^4)/4 ]

 

 

 

 

 

 

 

Then you have to do integration by parts again on [(1/4) Integral x(x^2+1)^(-1/2) * (x^4)/4 ]

 

 

 

 

 

 

 

Does that help?

 

 

 

 

 

 

 

The answer SHOULD be (1/15)*(x^2+1)^(3/2)*((3x^2)-2) but I didn't get it through going through the steps. There is a handy program which can do pretty much any integral for you without showing the steps (obviously) and it can be found at integrals.wolfram.com

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By The_Jeppoz :wink:

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The wolfram integrator puts it in extremely odd forms, I've found.

 

 

 

 

 

 

 

Anyways, azn, mxm and punky, those were both extremely helpful, thanks a bunch!

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dont you have to use the product rule as your multiplying two functions... neway thts what we call it where im from... unfortunately im to lazy to work it out....

 

 

 

 

 

 

 

Product rule is differentiation. The integral method of product rule is called integration by parts.

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