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Learn how to solve integral calculus problems step by step online. Integrate the function ((x+2)^10)/((3x-3)^12). Find the integral. Rewrite the fraction \frac{\left(x+2\right)^{10}}{\left(3x-3\right)^{12}} inside the integral as the product of two functions: \left(x+2\right)^{10}\frac{1}{\left(3x-3\right)^{12}}. We can solve the integral \int\left(x+2\right)^{10}\frac{1}{\left(3x-3\right)^{12}}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.
Solving a math problem using different methods is important because it enhances understanding, encourages critical thinking, allows for multiple solutions, and develops problem-solving strategies. Read more
Integration assigns numbers to functions in a way that can describe displacement, area, volume, and other concepts that arise by combining infinitesimal data.