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$\int\left(\left(x+1\right)^3-\left(x-1\right)^3\right)\left(x+1\right)\left(x-1\right)dx$
Learn how to solve integrals of rational functions problems step by step online. Integrate the function ((x+1)^3-(x-1)^3)(x+1)(x-1). Find the integral. 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 \left(x+1\right)^3-\left(x-1\right)^3 by each term of the polynomial \left(x^2-1\right). Solve the product -\left(\left(x+1\right)^3-\left(x-1\right)^3\right).