---《高等数学教程》第四章习题答案习题4-1(A)5322h211.(1)x2C(2)C(3)x2C(4)10xlnC593x3432525123(5)2xx2x2C(6)v2v2v2C355233xex(7)2arcsinx3arctanxC(8)C(9)2ex3lnxC1ln3(10)3cosxcotxc552.x3C,x324.yx2c，yx21225.ylnx16.(1)27m(2)3360S17.D(p)1000()p3习题4-1(B)1.(1)arcsinxC(2)x2arctanxC(3)xarctanxC14(x27)(4)3arctanxC(5)C(6)ex2xC(7)tanxsecxC(8)x74x31(xsinx)C(9)2(tanxx)C(10)tanxC2212.ss(1cost)0x5cost103.y2sint1(x35)x134.F(x)x1x11(x31)x13-------习题4-2(A)1112111.(1)(2)(3)(4)2(5)(6)(7)(8)1710123531123.(1)(32x)3C(2)ln12xC(3)25xC32513113(4)arcsinxC(5)53x2C(6)arctanxC3536222x1111(7)lnC(8)e5tC(9)xsin4xC42x15281111x2(10)cot(2x)C(11)cos2xcos4xC(12)lnC24483x11114.(1)ln(x22)C(2)arctan(x2)C(3)1x4C222x2912123(4)ln(x29)C(5)arcsinx94x2C(6)(1x3)2C222349111(7)(lnx)2C(8)ex2C(9)e2x2C(10)ln1cosxC2241(11)sinxsin3xC(12)arctanexC311x211x25.(1)lnC(2)arccosC(3)Cxxxa2xx1x291x(4)arcsina2x2C(5)C(6)C2a29xa2x2a21311ex1(7)(12x)212xC(8)lnC(9)2xln(12x)C621ex1(10)2(x1arctanx1)C习题4-2(B)1121.(1)F(ax2b)C(2)F()C(3)F(ax)C2axa1(4)F(lnx)C(5)F(eax)C(6)F(sinx)C(7)F(cosx)Ca(8)F(tanx)C(9)-F(arccosx)C(10)F(arctanx)C-------11112.(1)arctan(2sinx)C(2)cos5xcos7xC(3)sec3xsecxC25731x32(4)coxC(5)tanC(6)tanxsecxC(7)(sinxcosx)3Cx2211(8)(lntanx)2C(9)lnlnlnxC(10)C4xlnxx232x33.(1)2arctanxC(2)arcsinC(3)232x3lnC232x3x(4)2x44x4ln(4x1)C(5)arcsinxc11x21(6)(arcsinxlnx1x2)C2114.(1)f(x)2x1(2)f(x)xx222习题4-3(A)x1(1)xsinxcosxC(2)x(lnx1)C(3)Cex1111(4)xcos(3x)sin(3x)C(5)xcos2xsin2xC3494481(6)xarccosx1x2C(7)xarctanxln(1x2)C21111ex(8)x2ln(x1)x2xln(x1)C(9)(sinxcosx)C242221(10)xtanxlncosxx2C2习题4-3(B)lnx11.(1)(x22)sinx2xcosxC(2)xn1Cn1(n1)2x2(