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$\int\sqrt{x\left(x+6\right)}dx$
Learn how to solve integral calculus problems step by step online. Integrate the function (x(x+6))^1/2. Find the integral. Solve the product x\left(x+6\right). Rewrite the expression \sqrt{x^2+6x} inside the integral in factored form. We can solve the integral \int\sqrt{\left(x+3\right)^2-9}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+3 it's a good candidate for substitution. Let's define a variable u and assign it to the choosen part.