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Stephen S
Stephen S asked in Science & MathematicsMathematics · 10 years ago

integral of (-2)/(1-x^2)?

I've been told I have to use integration by substitution. Any help would be really appreciated.

Thanks!

3 Answers

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  • MechEng2030
    Lv 7
    10 years ago
    Favorite Answer

    ∫-2/(1 - x²) dx

    ∫2/(x² - 1) dx

    ∫[(x + 1) - (x - 1)]/(x + 1)(x - 1) dx

    ∫1/(x - 1) - 1/(x + 1) dx

    = ln|(x - 1)/(x + 1)| + C

  • JOS J
    Lv 7
    10 years ago

    -2 ArcTanh[x]

  • Madhukar
    Lv 7
    10 years ago

    ∫ - 2/(1 - x^2) dx

    = ∫ 2/(x^2 - 1) dx

    = ∫ [1/(x - 1) - 1/(x + 1)] dx

    = ln lx - 1l - ln lx + 1l + c

    = ln l(x - 1)/(x + 1)l + c.

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