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The trinomial $4x^2+4x+1$ is a perfect square trinomial, because it's discriminant is equal to zero
Learn how to solve integrals of rational functions problems step by step online.
$\Delta=b^2-4ac=4^2-4\left(4\right)\left(1\right) = 0$
Learn how to solve integrals of rational functions problems step by step online. Find the integral int((x+1)/(4x^2+4x+1))dx. The trinomial 4x^2+4x+1 is a perfect square trinomial, because it's discriminant is equal to zero. Using the perfect square trinomial formula. Factoring the perfect square trinomial. We can solve the integral \int\frac{x+1}{\left(2x+1\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 2x+1 it's a good candidate for substitution. Let's define a variable u and assign it to the choosen part.