\int _2^4\:\frac{x^2+2x+4}{\left(x^3+4x\right)}dx

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on Jan 25, 2025 at 1:23 am



You asked:

Evaluate the integral: \(\int_{2}^{4}{\frac{{x}^{2} + 2 x + 4}{{x}^{3} + 4 x}}dx\)

MathBot Answer:

Definite integral

\[\int_{2}^{4}{\frac{{x}^{2} + 2 x + 4}{{x}^{3} + 4 x}}dx = - \log{\left(2 \right)} - \frac{\pi}{4} + \arctan{\left(2 \right)} + \log{\left(4 \right)} \approx 1.01489773495658750281863673581684\]

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