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Rewrite the expression $\frac{2x+25}{\left(x^2+8x+16\right)\left(x^2+1\right)}$ inside the integral in factored form
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$\int\frac{2x+25}{\left(x+4\right)^{2}\left(x^2+1\right)}dx$
Learn how to solve problems step by step online. Find the integral int((2x+25)/((x^2+8x+16)(x^2+1)))dx. Rewrite the expression \frac{2x+25}{\left(x^2+8x+16\right)\left(x^2+1\right)} inside the integral in factored form. Rewrite the fraction \frac{2x+25}{\left(x+4\right)^{2}\left(x^2+1\right)} in 3 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+4\right)^{2}\left(x^2+1\right). Multiplying polynomials.