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Int_cal's profile picture. ΣΠ∫の練習帳

ΣΣΣ積分ΣΣΣbot

@Int_cal

ΣΠ∫の練習帳

38KPosts 2KFollowers 1Following
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Int_cal's profile picture.
ΣΣΣ積分ΣΣΣbot
 @Int_cal
Mar 29, 2016

問題です。

Int_cal's tweet image. 問題です。
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Int_cal's profile picture.
ΣΣΣ積分ΣΣΣbot
 @Int_cal
Apr 3, 2023

[14] ∫[1/2,2]sinx/(x(sinx+sin(1/x)))dx＝？？？

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Int_cal's profile picture.
ΣΣΣ積分ΣΣΣbot
 @Int_cal
Apr 3, 2023

まだ登録問題数も少なくて試験的運用の状態です。

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Int_cal's profile picture.
ΣΣΣ積分ΣΣΣbot
 @Int_cal
Apr 3, 2023

[27] ∫[0,π/2]log(sinx)/cosxdx＝？？？

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Int_cal's profile picture.
ΣΣΣ積分ΣΣΣbot
 @Int_cal
Apr 3, 2023

[36] ∫[0,π/2]log(4-cos^2x)dx＝？？？

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Int_cal's profile picture.
ΣΣΣ積分ΣΣΣbot
 @Int_cal
Apr 3, 2023

[34] Σ[k=0,n](-1)^k×C(n,k)×k^n＝？？？ C(n,k)は二項係数

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Int_cal's profile picture.
ΣΣΣ積分ΣΣΣbot
 @Int_cal
Apr 3, 2023

[39] ∫[0,1]xlogx/(1-x^4)dx＝？？？ 東大院試H.25数理修士A4.3

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Int_cal's profile picture.
ΣΣΣ積分ΣΣΣbot
 @Int_cal
Apr 3, 2023

[7] ∫xx/(xsinx+cosx)^2 dx＝？？？

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Int_cal's profile picture.
ΣΣΣ積分ΣΣΣbot
 @Int_cal
Apr 3, 2023

[15] ∫x/√(1+xx+√(1+xx)^3)dx＝？？？

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Int_cal's profile picture.
ΣΣΣ積分ΣΣΣbot
 @Int_cal
Apr 2, 2023

[26] ∫[0,1](x-1)/logxdx＝？？？ ∫[0,1]logx/(x-1)dx＝？？？

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Int_cal's profile picture.
ΣΣΣ積分ΣΣΣbot
 @Int_cal
Apr 2, 2023

[12] ∫(log(logx)+1/(logx)^2)dx＝？？？

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Int_cal's profile picture.
ΣΣΣ積分ΣΣΣbot
 @Int_cal
Apr 2, 2023

[39] ∫[0,1]xlogx/(1-x^4)dx＝？？？ 東大院試H.25数理修士A4.3

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Int_cal's profile picture.
ΣΣΣ積分ΣΣΣbot
 @Int_cal
Apr 2, 2023

[10] ∫[0,∞]cos(πx/2)/(1-xx)dx＝？？？

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Int_cal's profile picture.
ΣΣΣ積分ΣΣΣbot
 @Int_cal
Apr 2, 2023

[41] ∫...∫[Σ(x_i)^2≦1]e^(-Σ(x_i)^2)dx_1...dx_n/∫[0,1]x^(n/2-1)e^(-x)dx＝？？？ pbs.twimg.com/media/CetdXHEW…

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Int_cal's profile picture.
ΣΣΣ積分ΣΣΣbot
 @Int_cal
Apr 2, 2023

まだ登録問題数も少なくて試験的運用の状態です。

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Int_cal's profile picture.
ΣΣΣ積分ΣΣΣbot
 @Int_cal
Apr 2, 2023

[37] ∫[0,1] log(xx -√3x +1)/x dx＝？？？

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Int_cal's profile picture.
ΣΣΣ積分ΣΣΣbot
 @Int_cal
Apr 2, 2023

[32] lim[n→∞]Σ[k=1,n](k/n)^n＝？？？

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Int_cal's profile picture.
ΣΣΣ積分ΣΣΣbot
 @Int_cal
Apr 2, 2023

[35] Σ[k=0,[n/2]]C(n-k,k)＝？？？ [x]はガウス記号。 C(a,b)=a!/(b!(a-b)!)は二項係数。

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Int_cal's profile picture.
ΣΣΣ積分ΣΣΣbot
 @Int_cal
Apr 2, 2023

[1] ∫[0,∞]sin(xx)dx=??? ∫[0,∞]cos(xx)dx=???

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Int_cal's profile picture.
ΣΣΣ積分ΣΣΣbot
 @Int_cal
Apr 2, 2023

[36] ∫[0,π/2]log(4-cos^2x)dx＝？？？

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Int_cal's profile picture.
ΣΣΣ積分ΣΣΣbot
 @Int_cal
Apr 1, 2023

[5] ∫[0,π/2]θcotθdθ＝？？？ 東大院試H.25数理修士A4.3

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