Mathematics

Solve the integral:
$$\int {\frac{{{x^4} + {x^2} + 1}}{{{x^2} - x + 1}}dx} $$


SOLUTION
$$\begin{array}{l}I = \int {\frac{{{x^4} + {x^2} + 1}}{{{x^2} - x + 1}}dx} \\I = \int {\left( {{x^2} + x + 1} \right)dx} \\I = \frac{{{x^3}}}{3} + \frac{{{x^2}}}{2} + x + C\end{array}$$
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Subjective Medium Published on 17th 09, 2020
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