Final answer to the problem
$\frac{1}{2}x^2+x+4\ln\left(x-1\right)+2\ln\left(x\right)+C_0$
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Step-by-step Solution
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1
Find the integral
$\int\frac{x^3-1\cdot 2^2+5x+2}{x^2-x}dx$
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$\int\frac{x^3-1\cdot 2^2+5x+2}{x^2-x}dx$
Learn how to solve problems step by step online. Find the integral of (x^3-2^25x+2)/(x^2-x). Find the integral. Simplify the expression inside the integral. Divide -2+x^3+5x by x^2-x. Resulting polynomial.
Final answer to the problem
$\frac{1}{2}x^2+x+4\ln\left(x-1\right)+2\ln\left(x\right)+C_0$