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onegirl Group Title

Find the partial fractions decomposition and an antiderivative.

  • one year ago
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    @Twis7ed

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    Have you tried it yourself?

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    (x-5)/(x^2 -1) (x^2 - 1) == (x-1)(x+1) A/(x-1) + B/(x+1) Ax + A + Bx - B A + B = 1 (Which is the coefficient of x) A - B = -5 (Which is the coefficient of x^0) A = 1-B (1-B) - B = -5 1 - 2B = -5 -2B = -6 2B = 6 B = 3 A = -2 -2/(x-1) + 3/(x+1) = (x-5)/(x^2 - 1)

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    ohh ok now i see my mistake thanks!

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