nynw.net
当前位置:首页 >> sEC^3x*tAn^3x的不定积分 >>

sEC^3x*tAn^3x的不定积分

∫sec^3x*tan^3xdx =∫sec^2xtan^2x dsecx =∫sec^2x(sec^2x-1) dsecx =∫(sec^4x-sec^2x) dsecx =1/5sec^5x-1/3sec^3x+c

sec^3x的不定积分 ∫sec³xdx =∫secxdtanx =secxtanx-∫tanxdsecx =secxtanx-∫tan²xsecxdx =secxtanx-∫(sec²x-1)secxdx =secxtanx-∫sec³xdx+∫secxdx 2∫sec³xdx=secxtanx+∫secxdx =secxtanx+ln|secx+tanx|+2c 所以 ∫sec...

∫(secx)^3/tanxdx =∫secx·[(tanx)^2+1]/tanxdx =∫secx·tanxdx+∫secx/tanxdx =secx+∫cscxdx =secx+ln|cscx-cotx|+C

解:∵∫sec³xdx=∫secxd(tanx) =secxtanx-∫secxtan²xdx (应用分部积分) =secxtanx-∫secx(sec²x-1)dx =secxtanx-∫(sec³x-secx)dx ∴∫sec³xdx=secxtanx-∫sec³xdx+∫secxdx..........(1) (1)是一个含未知数∫sec³xdx...

基本的积分公式: 因为(tan(x))'=(sec(x))^2所以inf(sec(x)^2)=tan(x)--> inf[1/cos(3x)^2]=(1/3)*tan(3x)+C

sec^3x的不定积分 ∫sec³xdx =∫secxdtanx =secxtanx-∫tanxdsecx =secxtanx-∫tan²xsecxdx =secxtanx-∫(sec²x-1)secxdx =secxtanx-∫sec³xdx+∫secxdx 2∫sec³xdx=secxtanx+∫secxdx =secxtanx+ln|secx+tanx|+2c 所以 ∫sec...

∵∫ sec^3(x) dx = ∫ secx d( tanx) =secx tanx - ∫ tan^2 (x) secx dx = secx tanx - ∫ (sec^2(x) - 1 ) secx dx =secx tanx - ∫ (sec^3(x)dx+∫ secx dx ∴∫ sec^3(x)dx=1/2 secx tanx +1/2∫ secx dx =1/2 secx tanx +1/2∫[sec^2(x)+s...

∫(secx)^3tanxdx =∫(secx)^2dsecx =(1/3)(secx)^3 + C

网站首页 | 网站地图
All rights reserved Powered by www.nynw.net
copyright ©right 2010-2021。
内容来自网络,如有侵犯请联系客服。zhit325@qq.com