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Learn how to solve differential calculus problems step by step online. Find the integral int((2x-1)/((x^2-1)(x-6)))dx. Rewrite the fraction \frac{2x-1}{\left(x^2-1\right)\left(x-6\right)} in 2 simpler fractions using partial fraction decomposition. Find the values for the unknown coefficients: A, B, C. The first step is to multiply both sides of the equation from the previous step by \left(x^2-1\right)\left(x-6\right). Multiplying polynomials. Simplifying.
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
The derivative of a function of a real variable measures the sensitivity to change of a quantity (a function value or dependent variable) which is determined by another quantity (the independent variable). Derivatives are a fundamental tool of calculus.