vextendsingle vextendsingle vextendsingle dx and vextendsingle vextendsingle

# Vextendsingle vextendsingle vextendsingle dx and

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vextendsinglevextendsinglevextendsingledxandvextendsinglevextendsinglevextendsinglevextendsingleintegraldisplay33parenleftBigx2-4parenrightBigdxvextendsinglevextendsinglevextendsinglevextendsingleand explain your answers.Sincex2-4>0for-3< x <-2,x2-4<0for-2< x <2, andx2-4>0for2< x <3,integraldisplay33vextendsinglevextendsinglevextendsinglex2-4vextendsinglevextendsinglevextendsingledx=integraldisplay23parenleftBigx2-4parenrightBigdx+integraldisplay22-parenleftBigx2-4parenrightBigdx+integraldisplay32parenleftBigx2-4parenrightBigdx=parenleftbigg13x3-4xparenrightbiggvextendsinglevextendsinglevextendsinglevextendsingle23+parenleftbigg-13x3+ 4xparenrightbiggvextendsinglevextendsinglevextendsinglevextendsingle22+parenleftbigg13x3-4xparenrightbiggvextendsinglevextendsinglevextendsinglevextendsingle32=parenleftbigg163-3parenrightbigg+parenleftbigg163+163parenrightbigg+parenleftbigg-3 +163parenrightbigg=463,whilevextendsinglevextendsinglevextendsinglevextendsingleintegraldisplay33parenleftBigx2-4parenrightBigdxvextendsinglevextendsinglevextendsinglevextendsingle=vextendsinglevextendsinglevextendsinglevextendsinglevextendsingleparenleftbigg13x3-4xparenrightbiggvextendsinglevextendsinglevextendsinglevextendsingle33vextendsinglevextendsinglevextendsinglevextendsinglevextendsingle=|-3-