Do you seriously want help?

Domain is all the possible x-values, and range is all the possible y-values.

There we go
 
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Unless I'm just thinking in terms of basic integration, the integral of x^x should be something like this:

1/x+1(x^x+1)

Because when you derive it, you'd use the power rule and bring the x+1 over and make it the co-efficient, so it'd multiply by the 1/x+1, but would also cancel out = 1, meaning no visible co-efficient. At the same time, because you're deriving and using the power rule, you'd subtract 1 from the original power (x+1) which would result in just x.

Your end result would be x^x.
 
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Do you seriously want help?

Domain is all the possible x-values, and range is all the possible y-values.

There we go

Not necessarily. If you're in the complex domain, the domain of a function will be some magnitude and some angle range that make up the output of a function, the range.

|x +iy| = 1, angle pi/4

|x - iy| = 1, angle 7pi/4
 
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Unless I'm just thinking in terms of basic integration, the integral of x^x should be something like this:

1/x+1(x^x+1)

Because when you derive it, you'd use the power rule and bring the x+1 over and make it the co-efficient, so it'd multiply by the 1/x+1, but would also cancel out = 1, meaning no visible co-efficient. At the same time, because you're deriving and using the power rule, you'd subtract 1 from the original power (x+1) which would result in just x.

Your end result would be x^x.

um...no. integral(x^x) isn't easily expressed as a function.
If you are curious as to why
http://mathworld.wolfram.com/Integral.html

I'm not going to go through thoroughly why the above explanation is wrong, just notice that you can't "anti" chain rule like that, because our 1/x would also have its own derivative, namely -1/x^2

if you need a definite integration of x^x over some integral, some values can be achieved
 
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I thought Runescape was the answer to all problems.
 
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alternatively, d(ln f(x))/dx = f'(x)/f(x)

where f is a function of x
 
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Ok, I can do calc 1, calc 2, and a few more levels in, I self-taught myself some of it.

Sorry, I didn't check this for a day or two, was really busy.

In reverse, d lnx / dx = 1/x

What you do is raise both sides to e^x

then the form of a^u = a^u lna Du/Dx


x^x is a nightmare. I did it once.


GTG catch my bus, finish up later
 
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Do you seriously want help?

Domain is all the possible x-values, and range is all the possible y-values.

There we go

Not necessarily. If you're in the complex domain, the domain of a function will be some magnitude and some angle range that make up the output of a function, the range.

|x +iy| = 1, angle pi/4

|x - iy| = 1, angle 7pi/4

i think i just pooped in my pants, and i realllly do not wanna take math in college.

fack.
 
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"If at first you don’t succeed, call it version 1.0"

Do you seriously want help?

Domain is all the possible x-values, and range is all the possible y-values.

There we go

Not necessarily. If you're in the complex domain, the domain of a function will be some magnitude and some angle range that make up the output of a function, the range.

|x +iy| = 1, angle pi/4

|x - iy| = 1, angle 7pi/4

i think i just pooped in my pants, and i realllly do not wanna take math in college.

fack.

Unless you're going into electrical engineering (like me) or some kind of crazy pure physics or you're just looking to pick up a math course, you won't need to take a complex analysis course like what I'm taking.

Sure it'll be good to know how to deal with imaginary numbers....well even real numbers in cylindrical coordinates or polar coordinates but you probably won't use them. besides, there are calculators that can do all this stuff for you.

PS - No one actually likes math, it's just something that comes along with other courses. That only people who like math are majoring in it or are just straight up unbalanced.
 
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Actually Mr. Death, you're wrong. It is possible to integrate ANYTHING. It can just be a pain to do, and you may end up with an infinite (taylor) series. But everything is integratable.



x^x is (lnx+1)*x^x*x+(x^(X-1))*(x*lnx^2+2xlnx+x+1)*x^2/2........ as I said, it's a pain.... that series goes on, and on, generalized by this: F^N(x)*x^n/n!, where f^n(x) is the nth derivative., and n is the number in the sequence.
 
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Actually Mr. Death, you're wrong. It is possible to integrate ANYTHING. It can just be a pain to do, and you may end up with an infinite (taylor) series. But everything is integratable.



x^x is (lnx+1)*x^x*x+(x^(X-1))*(x*lnx^2+2xlnx+x+1)*x^2/2........ as I said, it's a pain.... that series goes on, and on, generalized by this: F^N(x)*x^n/n!, where f^n(x) is the nth derivative., and n is the number in the sequence.

lol he speaks the truth, anything that can be graphed can be integrated, that is to say it has area underneath its curve.

depending on the limits, it could be infinite

depending on the curve, it could be really hard to find, and it even if you can find it, you may end up with something that just makes you go "wtf am i supposed to do with you?"
 
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