$$\int\dfrac{t-2}{t+2-3\sqrt{2t-4}}dt$$ I'm not sure whether to use substitution or what.
2026-04-30 00:31:31.1777509091
Integrating this indefinite integral
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Hint
With the change of variable $x=\sqrt{2t-4}$ the integral becomes $$\int\frac{x^3}{x^2-6x+8}dx$$ then use the partial fraction decomposition (notice that $x^2-6x+8=(x-2)(x-4)$).