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Aluno

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Estudos Gerais • 04/26/2025

5. Considere a função ƒ: (0,∞) → R, definida por $$f(x) = \...

  1. Considere a função ƒ: (0,∞) → R, definida por

f(x)=∫1xt(1+t2)2ln⁡(t)dt.f(x) = \int_{1}^{x} \frac{t}{(1+t^2)^2} \ln(t) dt.

(a) Calcule f(2)f(2).

Faça da forma mais precisa e detalhada possível

5. Considere a função ƒ: (0,∞) → R, definida por $$f(x) = \int_{1}^{x} \frac{t}{(1+t^2)^2} \ln(t) dt.$$ (a) Calcule $f(2)$.
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