Final answer to the problem
Step-by-step Solution
How should I solve this problem?
- Integrate by parts
- Integrate by partial fractions
- Integrate by substitution
- Integrate using tabular integration
- Integrate by trigonometric substitution
- Weierstrass Substitution
- Integrate using trigonometric identities
- Integrate using basic integrals
- Product of Binomials with Common Term
- FOIL Method
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Rewrite the fraction $\frac{\left(5x-3\right)^3}{x^3}$ inside the integral as the product of two functions: $\left(5x-3\right)^3\frac{1}{x^3}$
Learn how to solve definite integrals problems step by step online.
$\int\left(5x-3\right)^3\frac{1}{x^3}dx$
Learn how to solve definite integrals problems step by step online. Integrate the function ((5x-3)^3)/(x^3) from 1 to infinity. Rewrite the fraction \frac{\left(5x-3\right)^3}{x^3} inside the integral as the product of two functions: \left(5x-3\right)^3\frac{1}{x^3}. We can solve the integral \int\left(5x-3\right)^3\frac{1}{x^3}dx by applying integration by parts method to calculate the integral of the product of two functions, using the following formula. First, identify or choose u and calculate it's derivative, du. Now, identify dv and calculate v.