\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: ∫24x2+2x+4x3+4xdx\int_{2}^{4}{\frac{{x}^{2} + 2 x + 4}{{x}^{3} + 4 x}}dx

MathBot Answer:

Definite integral

∫24x2+2x+4x3+4xdx=−log⁡(2)−π4+arctan⁡(2)+log⁡(4)≈1.01489773495658750281863673581684\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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