AP Calculus 2nd way: integral ∫(ax+c)/(ax^2 + bx) dx

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trig Write each expression as an equivalent algebraic expression involving only x.

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Show integral ∫x^2/(x^2+a^2) dx = x -a arc tan(x/a)

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Show integral 1/(x^2(x^2+a^2)) dx = -1/(a^2x) - 1/a^3 arc tan(x/a)

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