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Take the constant $\frac{1}{8}$ out of the integral
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$\frac{1}{8}\int\frac{5}{x\left(x+1\right)^2}dx$
Learn how to solve problems step by step online. Integrate the function 5/(8x(x+1)^2) from 1 to infinity. Take the constant \frac{1}{8} out of the integral. Rewrite the fraction \frac{5}{x\left(x+1\right)^2} in 3 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 x\left(x+1\right)^2. Multiplying polynomials.