为您找到"
darc
"相关结果约100,000,000个
令arccost＝x ∫(arccost)^2 dt ＝∫x^2 d(cosx)＝x^2 cosx -2∫x cosx dx ＝x^2 cosx -2x sinx +∫sinx dx ＝x^2 cosx -2x sinx -cosx + c ＝(arctant)^2 t -2arctant√(1-t^2)-t+c
原式=1/2∫arctanxd(x²)=1/2x²arctanx-1/2∫x²darctax =1/2x²arctax-1/2∫x²/(1+x²) dx =1/2x²arctax-1/2∫[1-1/(1+x²)] dx =1/2x²arctanx-1/2[x-arctanx]+C =(x²arctanx+arctanx-x)/2+C ...