Final Answer
$\frac{1}{2}x^2+\frac{-8}{x^2+4}+8\ln\left(\frac{2}{\sqrt{x^2+4}}\right)+C_0$
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Step-by-step Solution
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$\int\frac{x^5}{x^{4}+8x^2+16}dx$
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$\int\frac{x^5}{x^{4}+8x^2+16}dx$
Learn how to solve problems step by step online. Find the integral int((x^5)/((x^2+4)^2))dx. Expand. Divide x^5 by x^{4}+8x^2+16. Resulting polynomial. Simplify the expression inside the integral.
Final Answer
$\frac{1}{2}x^2+\frac{-8}{x^2+4}+8\ln\left(\frac{2}{\sqrt{x^2+4}}\right)+C_0$