Final answer to the problem
$\frac{-4}{\left(-1+x\right)^{2}}+C_0$
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Step-by-step Solution
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1
Find the integral
$\int\frac{\left(x-1\right)^2\left(2x-2\right)-2\left(x^2-2x-3\right)\left(x-1\right)}{\left(x-1\right)^4}dx$
Learn how to solve integral calculus problems step by step online.
$\int\frac{\left(x-1\right)^2\left(2x-2\right)-2\left(x^2-2x-3\right)\left(x-1\right)}{\left(x-1\right)^4}dx$
Learn how to solve integral calculus problems step by step online. Find the integral of ((x-1)^2(2x-2)-2(x^2-2x+-3)(x-1))/((x-1)^4). Find the integral. Factor the trinomial \left(x^2-2x-3\right) finding two numbers that multiply to form -3 and added form -2. Thus. Solve the product of difference of squares -2\left(x+1\right)\left(x-1\right)\left(x-3\right).
Final answer to the problem
$\frac{-4}{\left(-1+x\right)^{2}}+C_0$