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$\int\frac{x^3+4}{x^4-5x^2+4}dx$
Learn how to solve problems step by step online. Integrate the function (x^3+4)/(x^4-5x^2+4). Find the integral. Rewrite the expression \frac{x^3+4}{x^4-5x^2+4} inside the integral in factored form. Rewrite the fraction \frac{x^3+4}{\left(x+1\right)\left(x+2\right)\left(x-2\right)\left(x-1\right)} in 4 simpler fractions using partial fraction decomposition. Find the values for the unknown coefficients: A, B, C, D. The first step is to multiply both sides of the equation from the previous step by \left(x+1\right)\left(x+2\right)\left(x-2\right)\left(x-1\right).