Integrali notevoli

Pagina 1

∫ += cxdx () ()cxfdxxf +=∫' cxndxx nn ++= + ∫ 1 1 1 ()() () cxfndxxfxf nn ++= + ∫ 1' 1 1 cxdxx +=∫ ln1 ()() ()cxfdxxfxf +=∫ ln1' cekdxe kxkx +=∫ 1 () () () cedxxfe xfxf +=∫ '' cxdxx +−=∫ cossin ()() ()cxfdxxfxf +−=∫ cossin ' cxdxx +=∫ sincos ()() ()cxfdxxfxf +=∫ sincos ' ( ) cxdxxdxx +==+ ∫∫ tancos 1tan1 2 2 () () ()cxfdxxf xf +=∫ tancos2 ' ( ) ∫∫ +−==+ cxdxxdxx cotsin 1cot1 2 2 () () ()cxfdxxf xf +−=∫ cotsin2 ' cChxdxShx +=∫ ()() ()cxChfdxxfxShf +=∫ ' cShxdxChx +=∫ ()() ()cxShfdxxfxChf +=∫ ' () ()ck xf kdx xfk += +∫ arctan11 22 () () () ()cxfcxfdx xf xf +−=+= −∫ arccosarcsin 1 2 ' ca adxa x x +=∫ ln () () () ca adxxfa xf xf +=∫ ln ' )log(costan xxdx−=∫ ( )∫ − dxxaxf 22, con a>0 taxsin= ttcossin1 2 =− ( )dxxaxf∫ +22, con a>0 taShx= tChtSh=+21 ( )dxaxxf∫ −22, con a>0 taChx= ( )dxcbxaxxf∫ ++2, con a>0 axtcbxax −=++2 con a<0 e β una delle radici ( )β−=++ xtcbxax2 ( )dxbaxbaxxf nm ∫ ++,, s è m.c.m. tra m e n stbax =+