常用函數積分表增強版-展示頁
2025-07-08 11:49本頁面
【正文】 115. dxax+b=1alnax+b+C，a≠016. xax+bndx=ax+bn+1a2ax+bn+2bn+1+C，a≠0，n≠1,217. xax+bdx=xaba2lnax+b+C，a≠018. xax+b2dx=1a2lnax+b+bax+b+C，a≠019. x2ax+bdx=12a3ax+b24bax+b+2b2lnax+b+C20. x2ax+b2dx=1a3ax+b2blnax+bb2ax+b+C21. x2ax+b3dx=1a3lnax+b+2bax+bb22ax+b2+C22. x2ax+bndx=1a31n3ax+bn3+2bn2ax+bn2b2n1ax+bn1+C，n≠1,2,323. dxxax+b=1blnxax+b+C，b≠024. dxx2ax+b=1bx+ab2lnax+bx+C25. dxx2ax+b2=a1b2ax+b+1ab2x2b3lnax+bx+C26. xax+bdx=215a23ax2bax+b32+C27. x2ax+bdx=2105a315a2x212abx+8b2ax+b32+C28. ax+bndx=2ax+bn+2an+2+C，a≠0，n≠229. xnax+bdx=2a2n+3xnax+b322nba2n+3xn1ax+bdx 循環(huán)計算30. ax+bxdx=2ax+b+bdxxax+b=2ax+b2barctanhax+bb+C31. dxxax+b=2barctanax+bb+C，b032. dxxax+b=1blnax+bbax+b+b+C，b033. ax+bx2dx=ax+bx+a2dxxax+b+C34. ax+bxndx=ax+b32bn1xn12n5a2bn1ax+bxn1dx，n≠1 循環(huán)計算35. xnax+bdx=2a2n+1xnax+bbnxn1ax+b+C 循環(huán)計算36. dxx2ax+b=ax+bbxa2bdxxax+b+C，b≠037. dxxnax+b=ax+bbn1xn12n3a2bn1ax+bxn1dx，n≠1 循環(huán)計算38. xnax+bdx=22n+1xn+1ax+b+bxnax+bnbxn1ax+bdx+C 循環(huán)計算39. dxa2+x2=1aarctanxa+C，a≠040. dxa2+x22=x2a2a2+x2+12a3arctanxa+C，a≠041. dxa2x2=12alna+xax+C=1aarctanhxa+C，a≠0，ax42. dxa2x22=x2a2a2x2+14a3lnx+axa+C43. 1x2a2dx=12alnxax+a+C=1aarccothxa+C，a≠0，xa44. dxa2+x2=lnx+a2+x2+C45. a2+x2dx=x2a2+x2+a22lnx+a2+x2+C46. a2+x23dx=xa2+x234+38a2xa2+x2+38a4lnx+a2+x2+C47. a2+x25dx=xa2+x256+524a2xa2+x23+516a4xa2+x2+516a6lnx+a2+x2+C48. xa2+x22n+1dx=a2+x22n+32n+3+C49. x2a2+x2dx=x8a2+2x2a2+x2a48lnx+a2+x2+C50. x2a2+x23dx=xa2+x256a2xa2+x224a4xa2+x216a616lnx+a2+x2+C51. x3a2+x2dx=a2+x255a2a2+x233+C52. x3a2+x23dx=a2+x277a2a2+x255+C53. x3a2+x22n+1dx=a2+x22n+52n+5a2a2+x22n+32n+3+C54. x4a2+x2dx=x3a2+x236a2xa2+x238+a4xa2+x216+a616lnx+a2+x2+C55. x4a2+x23dx=x3a2+x258a2xa2+x2516+a4xa2+x2364+3a6xa2+x2128+3a8128lnx+a2+x2+C56. x5a2+x2dx=a2+x2772a2a2+x255+a4a2+x233+C57. x5a2+x23dx=a2+x2992a2a2+x277+a4a2+x255+C58. x5a2+x22n+1dx=a2+x22n+72n+72a2a2+x22n+52n+5+a4a2+x22n+32n+3+C59. a2+x2xdx=a2+x2alna+a2+x2x+C=a2+x2aarcsinhax+C60. a2+x23xdx=a2+x233+a2a2+x2a3lna+a2+x2x+C61. a2+x25xdx=a2+x255+a2a2+x233+a4a2+x2a5lna+a2+x2x+C62. a2+x277dx=a2+x277+a2a2+x255+a4a2+x233+a6a2+x2a7lna+a2+x2x+C63. a2+x2x2dx=lnx+a2+x2a2+x2x+C64. x2a2+x2dx=a22lnx+a2+x2+xa2+x22+C=a22arcsinhxa+xa2+x22+C65. dxxa2+x2=1alna+a2+x2x+C=1aarcsinhax+C66. dxx2a2+x2=a2+x2a2x+C，a≠067. dxa2x2=arcsinxa+C，a≠0，x≤a68. a2x2dx=x2a2x2+a22arcsinxa+C，a≠0，x≤a69. a2x2dx=12xa2x2sgnxarccoshxa+C，x≥a70. xa2x2dx=a2x233+C，x≤a71. x2a2x2dx=a48arcsinxa18xa2x2a22x2+C，a≠072. a2x2xdx=a2x2alna+a2x2x+C，x≤a73. a2x2x2dx=arcsinxaa2x2x+C，a≠074. x2a2x2dx=a22arcsinxaxa2x22+C，a≠0，xa2x275. dxxa2x2=1alna+a2x2x+C，a≠076. dxx2a2x2=a2x2a2x+C，a≠077. dxx2a2=lnx+
環(huán)評公示相關推薦
鄂ICP備17016276號-1