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$\int\frac{\left(4x^3\right)^2}{\left(2x^2\right)^3}dx$
Learn how to solve integral calculus problems step by step online. Integrate the function ((4x^3)^2)/((2x^2)^3). Find the integral. Rewrite the fraction \frac{\left(4x^3\right)^2}{\left(2x^2\right)^3} inside the integral as the product of two functions: \left(4x^3\right)^2\frac{1}{\left(2x^2\right)^3}. We can solve the integral \int\left(4x^3\right)^2\frac{1}{\left(2x^2\right)^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.