∫(1+cos^3 x)sec^2 x dx 求不定积分~

∫(1+cos^3 x)sec^2 x dx 求不定积分~ 1.∫sec^3/2xtanxdx= 2.∫sin2xdx/根号(1+cos^2x)= 求lim (sec^2 x求极限lim (sec^2 x - 1 )/(1-cos x) X-0请写出过程, 数学中Sec是啥意思极限x趋向于派/2,(1+Cos x)的2sec x次方 我知道sec x=1/cosx,但是sec x=cos(1/|x|)吗? ∫secx/sec^2x-1 dx =∫dx/(2cos^2(x/2)+1)=∫sec^(x/2)dx/(2+sec^2(x/2))怎么出来的?=∫dx/(2cos^2(x/2)+1)=∫sec^(x/2)dx/(2+sec^2(x/2))求详细流程,我知识点. 不定积分求解I=∫sec^(2)x tanx dxI=∫sec^(2)x tanx dxa) 让 w = sec x,Ib)让 w = tan x,I我自己做了一些··卡住了原式=I= ∫sinx/cos^(3)x dx=∫sec^(3)sinx dxw=sec xdw = -3cos^(-4)x (-sinx)dxdwcos^(4)/3 = sinx dxI=∫w^3 cos^(4)x /3 sec 2x等于cos 2x 分之一吗 cos(x)=-(1/8),π< x < (3π)/2sin(x)=?tan(x)=?cot(x)= sec(x)= csc(x)= ∫(sec x)^3=? ∫ sec^2 x dx ∫1/x^2*sec^2(1/x) 求问,∫sec^2xdx=∫(1/cos^2x)dx=tanx+C的推导过程~谢谢~ ∫1/根号x*sec^2(1-根号x)dx ∫sec^2 x / √ tan x +1 dx ∫cos x / ( 1 + (sinx)^2 ) dx = ∫x^3 / ( 1 + x^4 ) dx = ∫(sec x)^3 * tan x dx = ∫x^2 * e^(-2x) dx = ∫x * cos 2x dx = ∫(cos 2x)^2 dx = ∫(13x - 6) / ( x (x-2)(x+3) )dx = ∫(x^2 + 2x - 2) / ((x-2)(x+1)) dx = 请把过程写出来哈.>< 旷 这个怎恶魔算∫cos x / ( 1 + (sinx)^2 ) dx = ∫x^3 / ( 1 + x^4 ) dx = ∫(sec x)^3 * tan x dx = ∫x^2 * e^(-2x) dx = ∫x * cos 2x dx = ∫(cos 2x)^2 dx = ∫(13x - 6) / ( x (x-2)(x+3) )dx = ∫(x^2 + 2x - 2) / ((x-2)(x+1)) dx =