Integrate (4+x^2) / (x (2+x)^2)

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Question from Russell, a student:

integrate (4+x^2) / (x (2+x)^2)
I really need to know the steps involved in doing this integral, I already have the answer through wolfram intefrator but for some reason can not get to the answer given. Please help

Hi Russell,

Write 4 + x² as x² + 4x + 4 - 4x = (x + 2)² - 4x

Does that help?

Harley

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