Transcription of Formulario de integrales - UV
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Formulario de integrales - UV
Formulariodeintegralesc 2001-2005 SalvadorBlascoLlopisEsteformulariopuedes ercopiadoy distribuidolibrementebajolalicenciaCreat iveCommonsAtribuci ~ eptimarevisi on:Febrero2005 Sextarevisi on:Julio2003 Quintarevisi on:Mayo 2002 Cuartarevisi on:Mayo 2001 Tercerarevisi +b(1)Z(ax+b)ndx=1a(n+ 1)(ax+b)n+1+C; n6= 1(2)Zdxax+b=1alnjax+bj+C(3)Zdxx(ax+b)=1a ln xax+b +C(4)Zdx(1 + x)2= 1 11 + x+C(5)Zxdx(1 +bx)3= 12b 2(1 +bx)2 12b 11 +bx+ +b(6)Zxpa+bxdx=2(3bx 2a)(a+bx)3=215b2+C(7)Zxpa+bxdx=2(bx 2a)pa+bx3b2+C1(8)Zdxxpa+bx=8<:1paln pa+bx papa+bx+pa +C; a >02p aarctanqa+bx a+C; a <0(9)Zpa+bxxdx= 2pa+bx+aZdxxpa+bx+ a2(10)Zdxa2+x2=1aarctanxa+C; a >0(11)Zxdx(x2 a2)3=2=1px2 a2+ x2; x < a(12)Z(a2 x2)3=2dx=x2pa2 x2+a22arcsenxa+C; a >0(13)Zdxa2 x2=12aln a+xa x +C=1aarctanhxa(14)Zdx(a2 x2)3=2=xa2pa2 x2+ a2 Zpx2 a2dx=12 xpa2 x2+a2ln x+pa2 x2 +C=(15)=(12xpa2+x2+a22arcsenhx+C(+)12xpa 2 x2+a22arccoshx+C( )(16)Zxpx2 a2dx=13(x2 a2)3=2+C(17)Zx3px2+a2dx= (15x2 25a2)(a2+x2)3=2+C(18)Zpx2 a2xdx=px2 a2 a arccosajxj+C(19)Zdxpx2+a2=a arcsenhxa+C(20)Zdxpx2 a2= ln x+px2 a2 +C= arccoshxa+C;(a >0)(21)Zdxxpx2 a2=1aarccosajxj+C;(a >0)2(22)Zdxx2px2 a2= px2 a2a2x+C(23)Zxdxx2 a2=px2 a2+C(24)Zpx2 a2x4dx= (a2+x2)3=23a2x3+C(25)Zx2px2 a2dx=x2px2 a2 a22arccoshxa+ x2(26)Zpa2 x2dx=12xpa2 x2 a22arcsenxa+C;(a >0)(27)Zxpa2 x2dx= 13(a2 x2)3=2+C(28)Zx2pa2 x2dx=x8(2x2 a2)pa2 x2+a28arcsenxa+C; a >0(29)Zpa2 x2xdx=pa2 x2 aln a+pa2 x2x +C(30)Zdxx2pa2 x2= pa2 x2a2x)
Formulario de integrales c 2001-2005 Salvador Blasco Llopis Este formulario puede ser copiado y distribuido libremente bajo la licencia Creative Commons Atribuci on …
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