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$\int\frac{2x-7}{2x^2-5x+1}dx$
Learn how to solve integral calculus problems step by step online. Find the integral of (2x-7)/(2x^2-5x+1). Find the integral. Rewrite the expression \frac{2x-7}{2x^2-5x+1} inside the integral in factored form. Take the constant \frac{1}{2} out of the integral. We can solve the integral \int\frac{2x-7}{-\frac{17}{16}+\left(x-\frac{5}{4}\right)^2}dx by applying integration by substitution method (also called U-Substitution). First, we must identify a section within the integral with a new variable (let's call it u), which when substituted makes the integral easier. We see that x-\frac{5}{4} it's a good candidate for substitution. Let's define a variable u and assign it to the choosen part.