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Maths - Integration by parts

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Use the partial ractions to find
The integral (3x^2-x+2)/(x-1)(x^2+1) dx

  • Maths - Integration by parts -

    the integrand is x/(x^2+1)+2/(x-1)
    so integral is

    1/2 log (x^2+1) + 2 log(x-1)
    = log [√(x^2+1)/(x-1)^2]

  • Maths - Integration by parts -

    oops
    log [√(x^2+1)*(x-1)^2]

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