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f(x) - Campus Rio Pomba

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334 Cálculo A - Funções, Limite, Derivação, Integração<br />

6.1.10 Tabela de Integrais Imediatas<br />

(1)<br />

(2) — du = ln ru I + c<br />

c<br />

ua +1<br />

(3) ua du — + c (a é constante —1)<br />

J a + 1<br />

f u a"<br />

a du = a + c<br />

ln<br />

(5); e" du = e" + c<br />

(6) sen u du = — cos u + c<br />

(7) cos u du = sen u + c<br />

(8)<br />

(9) $<br />

sec2 u du = tg u + c<br />

cosec2 u du = — cotg u + c 5,..—<br />

„.K., k'<br />

(10) f sec c/ = sec u + c<br />

, >c d<br />

ct5)') x 1<br />

(11) cosec u cotg u du = — cosec u + c<br />

(12)<br />

du<br />

— arc sen u + c<br />

'■1 1 — u2<br />

(13) du - arc tg u + c<br />

.1 1 +<br />

s..

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