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Rewrite the expression $\frac{4x+1}{2x^2+4x+16}$ inside the integral in factored form
Learn how to solve integrals of rational functions problems step by step online.
$\int\frac{4x+1}{2\left(x^2+2x+8\right)}dx$
Learn how to solve integrals of rational functions problems step by step online. Find the integral int((4x+1)/(2x^2+4x+16))dx. Rewrite the expression \frac{4x+1}{2x^2+4x+16} inside the integral in factored form. Take the constant \frac{1}{2} out of the integral. Rewrite the expression \frac{4x+1}{x^2+2x+8} inside the integral in factored form. We can solve the integral \int\frac{4x+1}{7+\left(x+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 x+1 it's a good candidate for substitution. Let's define a variable u and assign it to the choosen part.