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Learn how to solve integral calculus problems step by step online. Find the integral int((5x+3)/(x^2-9))dx. Expand the fraction \frac{5x+3}{x^2-9} into 2 simpler fractions with common denominator x^2-9. Simplify the expression inside the integral. Rewrite the fraction \frac{x}{x^2-9} inside the integral as the product of two functions: x\frac{1}{x^2-9}. We can solve the integral \int x\frac{1}{x^2-9}dx by applying integration by parts method to calculate the integral of the product of two functions, using the following formula.
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.