Final answer to the problem
Step-by-step Solution
How should I solve this problem?
- Integrate using trigonometric identities
- Integrate by partial fractions
- Integrate by substitution
- Integrate by parts
- Integrate using tabular integration
- Integrate by trigonometric substitution
- Weierstrass Substitution
- Integrate using basic integrals
- Product of Binomials with Common Term
- FOIL Method
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Simplifying
Learn how to solve definite integrals problems step by step online.
$\int_{\frac{\sqrt{2}}{3}}^{\frac{2}{3}}\frac{1}{x^5\sqrt{9x^2-1}}dx$
Learn how to solve definite integrals 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.