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  1. integral of lnx ln(1-x) from 0 to 1

    integral of lnx ln(1-x) from 0 to 1

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  2. Mathematical induction middle level exercise

    Mathematical induction middle level exercise

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    5
  3. Special quartic equation and cos72

    Special quartic equation and cos72

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  4. How to factor difference of squares polynomial: x^4-1

    How to factor difference of squares polynomial: x^4-1

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  8. integral of x^n lnx from 0 to 1

    integral of x^n lnx from 0 to 1

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  9. Prove Method of infinite Descent (Vieta's jumping) : (x^2+y^2+1)/xy=3

    Prove Method of infinite Descent (Vieta's jumping) : (x^2+y^2+1)/xy=3

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  10. The existence proof of eigenvectors and eigenvalues

    The existence proof of eigenvectors and eigenvalues

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  11. Integral of 1/(x^3-1) from integral of 1/(x^3+1)

    Integral of 1/(x^3-1) from integral of 1/(x^3+1)

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  12. Integral of 1/(1+x^2)^2 (substitution)

    Integral of 1/(1+x^2)^2 (substitution)

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  13. Very funny math question solve x for x^x^n=n

    Very funny math question solve x for x^x^n=n

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  16. Prove Method of infinite Descent : square 2 is irrational

    Prove Method of infinite Descent : square 2 is irrational

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  17. Prove Method of infinite Descent : no nontrivial solutions x^2+y^2=3z^2

    Prove Method of infinite Descent : no nontrivial solutions x^2+y^2=3z^2

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  18. Prove Method of infinite Descent (Vieta's jumping) : (4a^2-1)^2/(4ab-1) is integer, then a=b

    Prove Method of infinite Descent (Vieta's jumping) : (4a^2-1)^2/(4ab-1) is integer, then a=b

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  19. Prove Method of infinite Descent : square k is irrational if k is not square free

    Prove Method of infinite Descent : square k is irrational if k is not square free

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  20. sinx+sin2x+sin3x+...+sin nx, cosx+cos2x+cos3x+cos 4 x+...+cos nx

    sinx+sin2x+sin3x+...+sin nx, cosx+cos2x+cos3x+cos 4 x+...+cos nx

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  21. Prove Method of infinite Descent (Vieta's jumping) : (a^2+b^2)/(ab+1) is square, imo1988

    Prove Method of infinite Descent (Vieta's jumping) : (a^2+b^2)/(ab+1) is square, imo1988

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  22. Normal subgroup and quotient subgroup

    Normal subgroup and quotient subgroup

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  23. There exist distinct integers x,y,z for which, x^2+y^2+z^2=14^n

    There exist distinct integers x,y,z for which, x^2+y^2+z^2=14^n

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  24. Plot Mcdonald Shape by function

    Plot Mcdonald Shape by function

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  25. zero morphism and kernel and cokernel

    zero morphism and kernel and cokernel

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