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SuperSecretShadow β Calculus Nightmare
Published: 2007-03-30 06:46:07 +0000 UTC; Views: 6801; Favourites: 74; Downloads: 67
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Description
har harlittle calculus nightmare i had while studying for the AP Calc test!
its scary!
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Comments: 57
I don't know what to say, but this is like I look in this moment
Β Β Β Β Β Β Β
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Ran the integral through Wolfram Alpha. The result is a complex number (about 4.03 - 7.67i).
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I guess this integration is hard to handle....
also, the function is not defined at x=7, x=6 and when x<6 if it is a real function
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There is a connection bet natural exponentsΒ & trigonometry, and bet logarithmsΒ & inverse trigonometric functions !
Now I am going to go shopping as I spent enough time on commenting on things,Β & as I have mental probsΒ & tend to forget thingsΒ I am supposed to do.
e^x - - Sin x (Sin Pi/2 = 1 , Sin pi = Sin 0 = 0)
LN(x) -- Arc-Sin xΒ (Arc-sin 1 = pi/2 = 3pi/2 = 5pi/2 = ...)
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I don't think this integral equation has an anti-derivative or makes ANY sense.
Abel proved that the simplest functions might not be integratable.
Then other methods have to be used to extract def.integral values.
I am a lover of higher math, but my limits were reached long ago, and some I no longer understand...
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I first took Calculus I back in 1982 at the University and bombed it, switching from a science major to psychology. I retook Calculus I in 1994 at a local community college to prove that I could do it, but I didn't continue with a new degree because I had gotten a job offer. Now, I am working on a science A.S. at the community college and retook Calculus I again last semester and am currently suffering through - er, I mean "enrolled in" - Calculus II.
I understand the pain, I truly do...
Thank you for drawing and remember to not drink and derive...Β Β Take care!
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Can you really integrate something from -e to pi?
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Oh God, I've already forgotten how to do that. Damn it the world must be ending.
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all i can say is holy crap. calculus looks scary
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Its actually not that harsh, and i'm finishing my 1ΒΊyear -.-
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Its actually not that harsh , and i'm in 1ΒΊyear -.-
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LOL. combination of 
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@destinyhearts You can't solve this using single variable calculus.
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How'd you get that answer? 
Sorry, I know this comment is like 4 months old, but I really wanted to ask.
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Haha I just used wolframalpha.com. That would take me way to long to solve by myself...
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lol okay xD I plugged it into Maple haha. It gives me more decimals than what you have posted xD
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Oh, of course; I could probably tell it to give me more, but I don't remember how
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It's sad because there's probably some of us who come across this and actually know how to solve that. XD
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I can appreciate this now that I am in AP Calc.
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HA! I feel like that in class all the time. I just got my calculus test back today and my head almost exploded... And I'm only in honors too >_>
*favs*
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Hahaha... my AP Calc. test is this Wednesday..
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yea. math actually follows us into our dreams. for real. when its becomong too stressful, equations pop up like nightmares. man.
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Ab or BC (I'm taking the former in May)? Will try and solve.
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oh no
AP calc exam tomorrow
nice sign
now I'm gonna try solving it
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haha I can see myself having that kind of nightmare before the AP exam
anytime I see (e) or trig functions in my problems I automatically feel like its a nightmare lol
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I can totally understand the nightmares. AP Cal is really tough! This pic made me laugh though.
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dont "derive" too fast~~!
ha..ha..ha.........
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homigosh i'm two years late but who cares
LOL
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HAHA! That is SOOOO latin to me, but that is amazing!
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I love this, especially since I'm so horrible at calculus.
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Erm... you do realise that the function being integrated is invalid for values < 6? (since ln (0) is undefined, x must be greater than 6)
/me turns off maths geek mode.
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let's see. In the complex plane. LN(-X) is LN(-1)+LN(x).
let LN(-1) = c. Then e^LN(-1) = e^c. =-1
Β
ergo LN(-1) = pi * i (i is the square root of -1).
Makes no sense ? Mathematically it does. There may be more than one value for LN(-1) ,making -1 a branch point for the function !
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ln(-1) does not make sense when the x in ln x is a real number, but it may make sense if x and ln x can be complex numbers.
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There ARE such things as improper integrals, you know.
I CBA to see if this converges though. xD
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No, that's not the reason why it's undefined. It is undefined, because there is no integral for 1/ln(x-6)
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See my comment for IceCrystal for my evaluation of LN (-x).
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At least on that interval there isn't.
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