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Learn how to solve problems step by step online. Find the integral int((2x-1)/(4x^2-1))dx. Expand the fraction \frac{2x-1}{4x^2-1} into 2 simpler fractions with common denominator 4x^2-1. Simplify the expression inside the integral. Rewrite the fraction \frac{x}{4x^2-1} inside the integral as the product of two functions: x\frac{1}{4x^2-1}. We can solve the integral \int x\frac{1}{4x^2-1}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