Final Answer
$x+\frac{1}{4}\ln\left(x-3\right)-\frac{9}{4}\ln\left(x+1\right)+C_0$
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Step-by-step Solution
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$\int\frac{x^2-4x+4}{x^2-2x-3}dx$
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$\int\frac{x^2-4x+4}{x^2-2x-3}dx$
Learn how to solve problems step by step online. Find the integral int(((x-2)^2)/((x+1)(x-3)))dx. Expand. Divide x^2-4x+4 by x^2-2x-3. Resulting polynomial. Simplify the expression inside the integral.
Final Answer
$x+\frac{1}{4}\ln\left(x-3\right)-\frac{9}{4}\ln\left(x+1\right)+C_0$