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Math Help - Integral with partial fractions

  1. #1
    Junior Member
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    Integral with partial fractions

    Hello, couild someone explain me how to integrate this ? i tried but i never get the result from wolfram alpha

    \int \frac {5+x^2} {4x^2+x^3}
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  2. #2
    Math Engineering Student
    Krizalid's Avatar
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    \frac{5+x^{2}}{4x^{2}+x^{3}}=\frac{5}{x^{2}(x+4)}+  \frac{1}{x+4}, and \frac{1}{x^{2}(x+4)}=\frac{1}{16}\cdot \frac{x^{2}-(x+4)(x-4)}{x^{2}(x+4)}=\frac{1}{16}\left( \frac{1}{x+4}-\frac{1}{x}+\frac{4}{x^{2}} \right), so i think you can take it from there.
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