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Integration w.r.t x of x^3/ x-1 …

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Integration w.r.t x of x^3/ x-1 is?

    • Posted by Suresh Krishna 8 years, 2 months ago

    CBSE > Class 12 > Mathematics
    • 1 answers

    Naveen Sharma 8 years, 2 months ago

    {tex}\int {x^3\over x-1} dx \\{/tex}

    {tex}= \int (x^2+x+1)dx + {1\over x- 1}dx{/tex}

    {tex}= {x^3\over 3}+{x^2\over 2} + x + log (x-1) + C{/tex}

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