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safe2216733 artist:gsphere582 princess celestia114791 g42070935 bedroom eyes84667 calculus57 crown31269 fancy mathematics264 female1852037 floppy ears75420 looking at you269966 math991 messy mane11272 mouth hold24289 smiling413977 solo1463258 spread wings99894 tiara7354 wet mane6605

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Parcly Taxel
Parcly Taxel - For supporting the site
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Princess of Science
Now to show that Celestia’s equation makes sense. I’ll use S to denote the integral sign.
 
S sin2(x) dx  
= 1/2 S 2*sin
2(x) dx  
= 1/2 S (1 - cos(2x)) dx  
= 1/2 (x - sin(2x)/2) + K  
where K is an arbitrary constant.
 
Heck, I’ve been taught way beyond this. How about S 1/(1 + x^3) dx?
D

Great pic, I love the expression and mane style; no clue what she’s saying but it’s probably awesome.