Current Events > Are you able to integrate (x^3+x)/(x^4+1) in your head?

(+) Yeah! (+)

Don't forget the constant!

I can integrate ur mom

Its been almost a decade since I had to do any maths more complicated than calculating basic probabilities. I would have to relearn how to do that, as it is, i'm not even sure what means.

No. That's a rather nasty looking integral you've got there.

Is it x^(3+x) and x^(4+1)?

mmmm....

3X^2+C/4X^3

Problem is I'm sure them being divided is some sort of integral in itself..

I remember enjoying integration in school, but I can't remember any of it

I forget how to even integrate, I got out of college 2 years ago

I don't even know what you're asking me to do

So I gotta fold it in?

I reckon I forgot to do dat about a month after finishing up my last class. I am not good at math.

I think I could tell you what the numerator and denominator would be if they were totally separate*, but I don't remember at all how the process changes since they're being divided.

*: Numerator = 3x^4 + x^2 + C
Denominator = 4x^5 + x + C
?

Mizznox posted...

I think I could tell you what the numerator and denominator would be if they were totally separate*, but I don't remember at all how the process changes since they're being divided.

*: Numerator = 3x^4 + x^2 + C
Denominator = 4x^5 + x + C
?

If this is correct then I ended up differentiating it.

No, I'm pretty terrible about doing math in my head.

Mizznox posted...

I think I could tell you what the numerator and denominator would be if they were totally separate*, but I don't remember at all how the process changes since they're being divided.

*: Numerator = 3x^4 + x^2 + C
Denominator = 4x^5 + x + C
?

Personally I'd turn it into partial fractions and try to integrate those. But not in my head tho

Also, it'd be (x^4)/3 and (x^5)/4

[LFAQs-redacted-quote]


Pretty sure it's calc I.

Nobody is doing this integral in their head.

Yes.

Solution: it's Current Year, segregation is bad, and values of all fractions and integers deserve to be integrated equally.

*leans back in chair*

[LFAQs-redacted-quote]

Ahh, that's it. I forgot you divide by the original exponent for the integral, rather than multiplying like you do for the derivative.

[LFAQs-redacted-quote]


u sub?

What would integration be useful for?

I have no idea what any of that even means lol. I never learned anything past basic Order of Operations.

https://www.youtube.com/watch?v=zSGWoXDFM64

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About binomial theorem I'm teeming with a lot o' news,
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But still, in matters vegetable, animal, and mineral,
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No but I disintegrated it easy enough.

Geoglow93 posted...

What would integration be useful for?

Physics

That being said, I remember nothing about calculus off the top of my head honestly

I barely made it past Calc 1 and never bothered with Calc 2. I can't integrate that at all, let alone in my head.

Makeveli_lives posted...

Physics

That being said, I remember nothing about calculus off the top of my head honestly

Force=(Mass*Velocity)/Time
if you differentiate this you get
Acceleration=Velocity/Time
or something to that effect. Physics is the real world implication of how something changes over time.

ln(|x^4+1|) + arctan(x^4+1) + C
Kinda screwed up plugging the usubs back in and considering that they added constant multipliers to the terms

Sadly no.

I am scum (sadly can't understand math), and an imbecile (impaired memory blocks equation calculation internally literally everyday)

Is a simple u sub even enough or would you have to do fraction decomposition?

Not in my head, no, I'd definitely need pen and paper. But it looks "simple" enough.

Uhh... Everything goes to infinity. Answer is x, I think.

Gwynevere posted...

Is a simple u sub even enough or would you have to do fraction decomposition?

It's enough. You split the fraction and the first term is of the type f'/f, which integrates to ln(f). The second term you can do x=u^2

Damn_Underscore posted...

I can integrate ur mom

Okay so what's his mom's volume?

Tyranthraxus posted...

Okay so what's his mom's volume?

Im guessing its a few cubic milliliters more when underscore is done with her.

Tyranthraxus posted...

Okay so what's his mom's volume?

If my math is correct and it always is (sarcasm) I would say x=

https://www.youtube.com/watch?v=WnCBx6AHmIE

Sadly, I can't remember how to integrate that anymore.

If I was told "it's just two terms" yeah, but I assumed since it was CE that you just threw in some nonsense.

(like if it was (x^3+x^2)/(x^4+1) it's still possible but a huge mess)

Honestly what is to stop me from just saying x=1 and saying it equals 2/2 or 1 whole?

Without an answer number to try for any number can be x, and the answer will be correct if done correctly.

If my math was off for x=1 I apologize, but my question stands.

Mistere_Man posted...

Honestly what is to stop me from just saying x=1 and saying it equals 2/2 or 1 whole?

Without an answer number to try for any number can be x, and the answer will be correct if done correctly.

If my math was off for x=1 I apologize, but my question stands.

Nothing is to stop you. It wouldn't be correct though, because the question isn't "evaluate this function at x=1", it's "find the anti derivative of this function".

scar_the_1 posted...

Nothing is to stop you. It wouldn't be correct though, because the question isn't "evaluate this function at x=1", it's "find the anti derivative of this function".

I never got to take calculus sadly.

Mistere_Man posted...

I never got to take calculus sadly.

It's never too late :) I'm sure coursera can help you out!