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Learn how to solve integrals by partial fraction expansion problems step by step online. Find the integral int(1/((x-1)(x+1)x^2^1/2+x+-6))dx. Cancel exponents 2 and \frac{1}{2}. The sum of two terms multiplied by their difference is equal to the square of the first term minus the square of the second term. In other words: (a+b)(a-b)=a^2-b^2.. Multiply the single term x by each term of the polynomial \left(x^2-1\right). When multiplying exponents with same base you can add the exponents: x^2x.
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 partial fraction decomposition or partial fraction expansion of a rational function is the operation that consists in expressing the fraction as a sum of a polynomial (possibly zero) and one or several fractions with a simpler denominator.