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$\int\frac{x-x^3}{\left(1-9x^2\right)^3}dx$
Learn how to solve problems step by step online. Integrate the function (x-x^3)/((1-9x^2)^3). Find the integral. First, factor the terms inside the radical by 9 for an easier handling. Taking the constant out of the radical. We can solve the integral \int\frac{x-x^3}{729\left(\frac{1}{9}-x^2\right)^3}dx by applying integration method of trigonometric substitution using the substitution.