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$\int\frac{m^3n\sqrt{x}}{\sqrt[5]{2^4m^7n^6x}}dx$
Learn how to solve problems step by step online. Integrate the function (m^3nx^1/2)/((2^4m^7n^6x)^1/5). Find the integral. Rewrite the fraction \frac{m^3n\sqrt{x}}{\sqrt[5]{2^4m^7n^6x}} inside the integral as the product of two functions: \sqrt{x}\frac{m^3n}{\sqrt[5]{2^4m^7n^6x}}. We can solve the integral \int\sqrt{x}\frac{m^3n}{\sqrt[5]{2^4m^7n^6x}}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.