余弦的3次方的积分,
∫cos^3 x dx=∫cosxcos^2xdx
=∫cosx(1-sin^2)dx
=∫cosxdx-∫cosxsin^2xdx
=-sinx-1/2∫sin2xsinxdx
=-sinx-1/2∫(-1/2(cos(3x)-cosx)dx
=-sinx+1/4*1/3∫cos3xd3x+1/4sinx
=-3/4sinx-1/12sin3x+c
绛旓細=鈭玞osx(1-sin^2)dx =鈭玞osxdx-鈭玞osxsin^2xdx =-sinx-1/2鈭玸in2xsinxdx =-sinx-1/2鈭(-1/2(cos(3x)-cosx)dx =-sinx+1/4*1/3鈭玞os3xd3x+1/4sinx =-3/4sinx-1/12sin3x+c
绛旓細(cosx)^3dx=1-(sinx)^2dsinx=x-(1/3)(sinx)^3+c
绛旓細=16/3
绛旓細sinx鐨3娆℃柟鐨勭Н鍒嗗叕寮 锛 鍏ㄩ儴 濂借瘎鍥炵瓟 2020-06-22 12:22:20 sinx鐨3娆℃柟鐨勭Н鍒嗗叕寮:sin^3xdx=-cosx+(1/3)cos^3x+C.sinX鏄寮﹀嚱鏁,鑰宑osX鏄綑寮﹀嚱鏁,涓よ呭鏁颁笉鍚,s...sinx鐨勪笁娆℃柟绉垎鍏紡 锛 鍏ㄩ儴 濂借瘎鍥炵瓟 2020-05-13 10:09:22 sinx鐨勪笁娆℃柟绉垎鍏紡:-cosx+(1/3)cos^3x+C,C...
绛旓細甯﹀叆鍗冲彲
绛旓細鍘熷紡=鈭玸ecxdtanx =secx*tanx-鈭(tanx)^2secxdx =secx*tanx-鈭玔(secx)^2-1]*secxdx =secx*tanx-鈭(secx)^3dx+鈭玸ecxdx 2鈭(secx)^3=secx*tanx+鈭玸ecxdx 鈭(secx)^3=(1/2)secx*tanx+(1/2)ln|secx+tanx|+C 涓嶅畾绉垎鐨勬ц川锛氫竴涓嚱鏁帮紝鍙互瀛樺湪涓嶅畾绉垎锛鑰屼笉瀛樺湪瀹氱Н鍒嗭紝涔熷彲浠...
绛旓細缁艰堪锛氾紙澶嶅悎姹傚锛 3cosx^2*(cosx)'=3cosx^2*-sinx 銆傚鏋滀竴涓暟鐨勭珛鏂圭瓑浜巃锛岄偅涔堣繖涓暟鍙仛a鐨勭珛鏂规牴鎴涓夋鏂鏍癸紙cube root)銆傝繖灏辨槸璇达紝濡傛灉x^3=a锛岄偅涔坸鍙仛a鐨勭珛鏂规牴銆備笁娆℃柟鏍规ц川锛氾紙1锛夋鏁扮殑绔嬫柟鏍规槸姝ｆ暟锛岃礋鏁扮殑绔嬫柟鏍规槸璐熸暟锛0鐨勭珛鏂规牴鏄0 銆傦紙2锛夊湪瀹炴暟鑼冨洿鍐咃紝浠讳綍瀹炴暟鐨勭珛鏂规牴...
绛旓細鈭(cosx)^6(sinx)^3dx=-鈭(cosx)^6(sinx)^2d(cosx)=-鈭(cosx)^6(1-(cosx)^2)d(cosx)=鈭(cosx)^8-(cosx)^6d(cosx)=(cosx)^9/9-(cosx)^7/7+C 鈭(cosx)^6(sinx)^3dx=[(cosx)^9/9-(cosx)^7/7]=1/7-1/9=2/63 ...
绛旓細鈭玸inxcos³xdx =-鈭玞os³xd(cosx)=-¼cos⁴x+C
绛旓細涓嶅畾绉垎sin鍜宑os閮芥槸濂娆″箓鎬庝箞绠楀:sin^5cos^3 鎴戞潵绛 1涓洖绛 #鐑# 浣滀负涓冪敓鐨勫闀,搴旇鎬庢牱瀵瑰緟瀛╁瓙鍛?fnxnmn 2014-12-14 路 TA鑾峰緱瓒呰繃5.8涓囦釜璧 鐭ラ亾澶ф湁鍙负绛斾富 鍥炵瓟閲:1.1涓 閲囩撼鐜:14% 甯姪鐨勪汉:1.1浜 鎴戜篃鍘荤瓟棰樿闂釜浜洪〉 鍏虫敞 灞曞紑鍏ㄩ儴 宸茶禐杩 宸茶俯杩< 浣犲...
