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$\int\left(x\sqrt{9-x^2}\right)^2dx$
Learn how to solve integral calculus problems step by step online. Find the integral of (x(9-x^2)^1/2)^2. Find the integral. We can solve the integral \int\left(x\sqrt{9-x^2}\right)^2dx by applying integration method of trigonometric substitution using the substitution. Now, in order to rewrite d\theta in terms of dx, we need to find the derivative of x. We need to calculate dx, we can do that by deriving the equation above. Substituting in the original integral, we get.