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$\int_{\sqrt{3}}^{\infty }\frac{3}{x^2+9}dx$
Learn how to solve definite integrals problems step by step online. Integrate the function 3/(x^2+9) from 3^1/2 to infinity. Simplifying. The integral of a function times a constant (3) is equal to the constant times the integral of the function. 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.