Tabla De Integrales Directas
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TABLA DE INTEGRALES DIRECTAS: 1. du=u+c 2. kdu=kdu=ku+c 3. du+dv= du+ dv (es igual en la resta) 4. un du=un+1n+1+ c 5. duu=lnu+c 6. sinu du=-cosu+c 7. cosu du=sinu+c 8. sec2u du=tanu+c 9. csc2u du=-cotu+c 10.secu tanu du=secu+c 11.cscu cotu du= -cscu+c 12.tanu du=-lncosu+ c=lnsecu+c 13.cotu du=lnsinu+ c= -lncscu+ c 14.eudu= eu+ c 15.audu= aulna+ c
(a > 0 ; a ≠ 1)
16.dua2-u2=sin-1ua+ c 17.dua2+u2= 1atan-1ua+ c 18.duuu2-a2= 1a sec-1ua+ c 19.cscu du= -lncscu+ cotu+ c 20.secudu= lnsecu+ tanu+ c
ALGUNAS IDENTIDADES: 1. 2. 3. 4.
sinA+B=sinAcosB+ sinBcosA sinA-B=sinAcosB- sinBcosA cosA+B=cosAcosB+sinAsinB cosA-B=cosAcosB-sinAsinB
5. 6. 7. 8.
cos2θ=cos2θ-sin2θ sin2θ= 2sinθcosθ sin2θ+ cos2θ=1 tan2θ= sec2θ-1
(a > 0 ; a ≠ 1)
16.dua2-u2=sin-1ua+ c 17.dua2+u2= 1atan-1ua+ c 18.duuu2-a2= 1a sec-1ua+ c 19.cscu du= -lncscu+ cotu+ c 20.secudu= lnsecu+ tanu+ c
ALGUNAS IDENTIDADES: 1. 2. 3. 4.
sinA+B=sinAcosB+ sinBcosA sinA-B=sinAcosB- sinBcosA cosA+B=cosAcosB+sinAsinB cosA-B=cosAcosB-sinAsinB
5. 6. 7. 8.
cos2θ=cos2θ-sin2θ sin2θ= 2sinθcosθ sin2θ+ cos2θ=1 tan2θ= sec2θ-1
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