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$\int_{\frac{\sqrt{2}}{3}}^{\frac{2}{3}}\frac{1}{x^5\sqrt{9x^2-1}}dx$
Learn how to solve integral calculus problems step by step online. Integrate the function 1/(x^5(9x^2-1)^1/2) from (2^1/2)/3 to 2/3. Simplifying. 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{1}{3x^5\sqrt{x^2-\frac{1}{9}}}dx by applying integration method of trigonometric substitution using the substitution.