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Learn how to solve integrals of rational functions problems step by step online.
$\int\frac{x-3}{\sqrt{\left(5-4x-x^2\right)^{3}}}dx$
Learn how to solve integrals of rational functions problems step by step online. Find the integral int((x-3)/((5-4x-x^2)^(3/2)))dx. Simplifying. Rewrite the expression \frac{x-3}{\sqrt{\left(5-4x-x^2\right)^{3}}} inside the integral in factored form. Take the constant \frac{1}{-1} out of the integral. We can solve the integral \int\frac{x-3}{\sqrt{\left(-9+\left(x+2\right)^2\right)^{3}}}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+2 it's a good candidate for substitution. Let's define a variable u and assign it to the choosen part.