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(積分)「youtubeの【高校数学】今週の積分」 をsympyでやってみたい

オリジナルリンク

fullscript.py
# wolframalpha
# https://www.wolframalpha.com/input/?i=sin(1%2Fx)%2Fx**3
# Cos[x^(-1)]/x - Sin[x^(-1)]
from sympy import *
var("x")
f=sin(1/x)/x**3
print(integrate(f,x))
# -sin(1/x) + cos(1/x)/x

fullscript.py
# wolframalpha
# https://ja.wolframalpha.com/input/?i=-1%E3%81%8B%E3%82%891%E3%81%AE%E7%AF%84%E5%9B%B2%E3%81%A7x**2%2F(1%2Bexp(x))%E3%82%92%E7%A9%8D%E5%88%86
# -1から1の範囲でx**2/(1+exp(x))を積分
# 0.333333
from sympy import *
var("x")
f=x**2/(1+exp(x))
print(integrate(f,(x,-1,1)))
# sympyで計算してくれない。
# Integral(x**2/(exp(x) + 1), (x, -1, 1))

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