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Rewrite the expression $\frac{1}{2x^2+20x+60}$ inside the integral in factored form
Learn how to solve integrals of rational functions problems step by step online.
$\int\frac{1}{2\left(x^2+10x+30\right)}dx$
Learn how to solve integrals of rational functions problems step by step online. Find the integral int(1/(2x^2+20x+60))dx. Rewrite the expression \frac{1}{2x^2+20x+60} inside the integral in factored form. Take the constant \frac{1}{2} out of the integral. Solve the integral by applying the formula \displaystyle\int\frac{x'}{x^2+a^2}dx=\frac{1}{a}\arctan\left(\frac{x}{a}\right). Simplify the expression inside the integral.