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MathNet 2009-part-05 — 172 problems (EN–VI) Question 92

Math Olympiad Vault · MathNet 2009-part-05 — 172 problems (EN–VI)

Question 92

Compute $e^{A}$ where $A$ is defined as
$$
\int_{3 / 4}^{4 / 3} \frac{2 x^{2}+x+1}{x^{3}+x^{2}+x+1} d x
$$