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Rewrite the expression $\frac{6x^2+12x+6}{x^3+x^2-x-1}$ inside the integral in factored form
Learn how to solve integrals of rational functions problems step by step online.
$\int\frac{6x^2+12x+6}{\left(x+1\right)^{2}\left(x-1\right)}dx$
Learn how to solve integrals of rational functions problems step by step online. Find the integral int((6x^2+12x+6)/(x^3+x^2-x+-1))dx. Rewrite the expression \frac{6x^2+12x+6}{x^3+x^2-x-1} inside the integral in factored form. Rewrite the expression \frac{6x^2+12x+6}{\left(x+1\right)^{2}\left(x-1\right)} inside the integral in factored form. The integral of a function times a constant (6) is equal to the constant times the integral of the function. We can solve the integral \int\frac{1}{-1+x}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 -1+x it's a good candidate for substitution. Let's define a variable u and assign it to the choosen part.