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Rewrite the fraction $\frac{\left(5x-3\right)^3}{x^3}$ inside the integral as the product of two functions: $\left(5x-3\right)^3\frac{1}{x^3}$
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$\int\left(5x-3\right)^3\frac{1}{x^3}dx$
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 u and calculate du. Now, identify dv and calculate v.