the question is not specified properly. is it (x³+x+1 ) / (x² - 1) ?
ok i have ans but i need ans with steps
X^4 /4 +x^2/2-1/x+x
Mkt8995 - your answer is not right. the question is what i wrote in the comments now. please change ur answer.
but by which way thats right ans

Answers

2014-10-24T22:48:26+05:30

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You should use parentheses for writing proper expressions.

\frac{x^3+x+1}{x^2-1} = x + \frac{2x+1}{x^2-1}=\\ \\Integrate\ now\\ \\

 \int\limits^{}_{} {(x+\frac{3}{2}\frac{1}{x-1}+\frac{1}{2}\frac{1}{x+1}}) \, dx \\ \\= \int\limits^{}_{} {x} \, dx + \frac{3}{2} \int\limits^{}_{} {\frac{1}{x-1}} \, dx + \frac{1}{2}\int\limits^{}_{} {\frac{1}{x+1}} \, dx \\ \\\frac{1}{2}x^2+\frac{3}{2}Ln(x-1)+\frac{1}{2}Ln(x+1)+C\\


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