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/sci/ - Science & Math


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977112 No.977112 [Reply] [Original]

http://www.wolframalpha.com/input/?i=integral+x%5Ex

/sci/ why is there no answer?

>> No.977126

also not troll, genuinely interested

>> No.977141

i've finally stumped /sci/

>> No.977149

>>977112
There is no elementary function F(x) such that f'(x) = <span class="math"> x^x [/spoiler]

>> No.977155
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977155

pic related its /sci/ trying to figure out why

>> No.977188

>>977149
wat

>> No.977193

can you find a function whose derivative is <span class="math">x^x[/spoiler]?

therefore there is no answer.

>> No.977209

There's no anti derivative of x^x so you can't integrate it. You can still "guess" what the values of such a function as certain points are going to be, though.

>> No.977233

>>977209

There is an antiderivative.

>> No.977237

>>977233
Oh really? Please show it to me.

>> No.977245

>>977237
<div class="math">F(x) = \int_1^x t^t dt </div>

>> No.977252
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977252

>>977245

>> No.977254

>>977245
lolololololololol

>> No.977261

>>977245
>>977245

OMG OMG OMG MAN!!! PUBLISH THAT SHIT ALREADEY !! MAKE YOURSELF FAMOUSS 1!!!111212121!!!!

>> No.977258

>>977245
It's right. Just look at the fundamental theorem of calculus, you bunch of failures.

>> No.977269

>>977252
Oh i get it, you're still at highschool.

>> No.977273
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977273

>>977193
Maybe I'm bad at Calculus?
Isn't this just the Power Rule?

>> No.977279

>>977273
lol try differentiating that

>> No.977287

>>977273
Yes, you're bad at calculus.

>> No.977289

>>977279
It's not the power rule because there's an x up there
Right?

>> No.977294

>>977273
Power rule is only when the exponent is a constant, sorry.

>> No.977297

>>977289
yep

>> No.977299

>>977273
Only works for x^n where n is constant.