常用函數(shù)積分表增強(qiáng)版(編輯修改稿)
2025-07-26 11:49 本頁面
【文章內(nèi)容簡介】 sinn1axcosaxan+n1nsinn2axdx+C 循環(huán)計(jì)算130. sinaxxdx=i=0∞1iax2i+12i+12i+1!+C131. sinaxxndx=sinaxn1xn1+an1cosaxxn1dx132. cosnaxdx=1ancosn1axsinax+n1ncosn2axdx+C，n≥2133. cos2xdx=x2+sin2x4+C134. cosaxxdx=lnax+i1∞1iax2i2i2i!，n≠1135. cosaxxndx=cosaxn1xn1an1sinaxxn1dx，n≠1136. sinaxcosaxdx=12asin2ax137. sinaxsinbxdx=sinabx2absina+bx2a+b+C，a2≠b2138. sinaxcosbxdx=cosa+bx2a+bcosabx2ab+C，a2≠b2139. cosaxcosbxdx=sinabx2ab+sina+bx2a+b+C，a2≠b2140. sinaxcosaxdx=cos2ax4a+C，a≠0141. sinnaxcosaxdx=sinn+1axn+1a+C，a≠0，n≠1142. cosnaxsinaxdx=cosn+1axn+1a+C，a≠0，n≠1143. tanaxdx=sinaxcosaxdx=1alncosax+C，a≠0144. cotaxdx=cosaxsinaxdx=1alnsinax+C，a≠0145. sinnaxcosmaxdx=sinn1axcosm+1axam+n+n1m+nsinn2axcosmaxdx+C=sinn+1axcosm1axam+n+m1n+msinnaxcosm2axdx+C，a≠0，m+n≠0 循環(huán)計(jì)算146. sinaxsinbxdx=xsinab2abxsina+b2a+b+C，a≠b147. dxsinaxcosax=1alntanax+C148. dxsinaxcosnax=1an1cosn1ax+dxsinaxcosn2ax，n≠1149. dxcosaxsinnax=1an1sinn1ax+dxcosaxsinn2ax，n≠1150. sinaxdxcosnax=1an1cosn1ax+C，n≠1151. sin2axdxcosax=1asinax+1alntanπ4+ax2+C152. sin2axdxcosnax=sinaxan1cosn1ax1n1dxcosn2ax，n≠1153. sinnaxdxcosax=sinn1axan1+sinn2axdxcosax+C154. sinnaxdxcosmax=sinn+1axam1cosm1axnm+2m1sinnaxdxcosm2ax+C=sinn1axanmcosm1ax+n1nmsinn2axdxcosmax+C=sinn1axam1cosm1axn1m1sinn1axdxcosm2ax+C，m≠1，m≠n155. cosaxdxsinnax=1an1sinn1ax+C156. cos2axdxsinax=1acosax+lntanax2+C157. cos2axdxsinnax=1n1cosaxasinn1ax+dxsinn2ax+C，n≠1158. cosnaxdxsinmax=cosn+1axam1sinm1axnm2m1cosnaxdxsinm2ax+C=cosn1axanmsinm1ax+n1nmcosn2axdxsinmax+C=cosn1axam1sinm1axn1m1cosn2axdxsinm2ax+C，m≠1，m≠n159. dxb+csinax=2ab2c2arctanbcb+ctanπ4ax2+C，a≠0，b2c2160. dxb+csinax=1ac2b2lnc+bsinax+c2b2cosaxb+csinax+C，a≠0，b2c2161. dx1+sinax=1atanπ4ax2+C，a≠0162. dx1sinax=1atanπ4+ax2+C，a≠0163. x dx1+sinax=xatanax2π4+2c2lncosax2π4+C164. x dx1sinax=xacotπ4ax2+2c2lnsinπ4ax2+C165. sinaxdx1177。sinax=177。x+1ctanπ4?ax2+C166. dxb+ccosax=2ab2c2arctanbcb+ctanax2+C，a≠0，b2c2167. dxb+ccosax=1ac2b2lnc+bcosax+c2b2sinaxb+ccosax+C，a≠0，b2c2168. dx1+cosax=1atanax2+C，a≠0169. dx1cosax=1acotax2+C，a≠0170. x dx1+cosax=xatanax2+2a2lncosax2+C，a≠0171. x dx1cosax=xacotax2+2a2lnsinax2+C，a≠0172. cosaxdx1+cosax=x1atanax2+C173. cosaxdx1cosax=x1acotax2+C174. cosaxcosbxdx=xsinab2ab+xsina+b2a+b+C，a≠b175. dxcosax177。sinax=12alntanax2177。π8+C176. dxcosax+sinax2=12atanax?π4+C177. dxcosx+sinxn=1n1sinxcosxcosx+sinxn12n2dxcosx+sinxn2+C178. dxcosax+sinaxn=179. cosaxdxcosax+sinax=x2+12alnsinax+cosax+C180. cosaxdxcosaxsinax=x212alnsinaxcosax+C181. sinaxdxcosax+sinax=x212alnsinax+cosax+C182. sinaxdxcosaxsinax=x212alnsinaxcosax+C183.
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