Final answer to the problem
$x+\frac{4}{3}\ln\left(x-2\right)-\frac{1}{3}\ln\left(x+1\right)+C_0$
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Step-by-step Solution
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1
Find the integral
$\int\frac{x^2}{x^2-x-2}dx$
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$\int\frac{x^2}{x^2-x-2}dx$
Learn how to solve problems step by step online. Integrate the function (x^2)/(x^2-x+-2). Find the integral. Rewrite the expression \frac{x^2}{x^2-x-2} inside the integral in factored form. Expand. Divide x^2 by x^2-x-2.
Final answer to the problem
$x+\frac{4}{3}\ln\left(x-2\right)-\frac{1}{3}\ln\left(x+1\right)+C_0$