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Integral of (x^4 + x^2 + 1) / (x^2 - x + 1) dx | Calculus Step-by-Step | Smooth Integrals
How do you evaluate the integral of (x^4 + x^2 + 1)/(x^2 - x + 1) dx? While most students immediately jump into tedious polynomial long division or painful partial fraction decomposition, this video reveals an elegant algebraic trick. By factoring the numerator using a hidden difference of squares identity, the denominator completely vanishes ...
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