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Ejercicios resueltos de Cálculo - Universidad de Málaga

Ejercicios resueltos de Cálculo - Universidad de Málaga

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Integración 445<br />

Problema 216 Hallar<br />

∞<br />

1<br />

∞<br />

<br />

dx<br />

1 + x2 = arctg x<br />

1<br />

∞ 1<br />

1<br />

1 + x2dx, si la integral converge.<br />

π π π<br />

= lím (arctg t − ) = −<br />

t→+∞ 4 2 4<br />

<strong>Ejercicios</strong> <strong>resueltos</strong> <strong>de</strong> <strong>Cálculo</strong>. c○Agustín Valver<strong>de</strong><br />

= π<br />

4

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