求定积分从0到a[a-根号下（2ax-x^2)]/根号下（2a-x）,请写详细点谢了
原式=∫(a-√2ax-x^2)/√2a-x dx 积分区间（0,a)=∫(a/√2a-x)dx-√2ax-x^2/√2a-x dx 积分区间（0,a)=-a∫1/√2a-x d(2a-x)- ∫ √x dx 积分区间（0,a)=-2a√2a-x -(2/3)x^(3/2) 积分区间（0,a)=[2√2-(8/3)]a^(3/2...绛旓細鍘熷紡=鈭(a-鈭2ax-x^2)/鈭2a-x dx 绉垎鍖洪棿锛0,a)=鈭(a/鈭2a-x)dx-鈭2ax-x^2/鈭2a-x dx 绉垎鍖洪棿锛0,a)=-a鈭1/鈭2a-x d(2a-x)- 鈭 鈭歺 dx 绉垎鍖洪棿锛0,a)=-2a鈭2a-x -(2/3)x^(3/2) 绉垎鍖洪棿锛0,a)=[2鈭2-(8/3)]a^(3/2...
绛旓細2012-11-23 姹傚畾绉垎浠0鍒癮[a-鏍瑰彿涓(2ax-x^2)]/鏍瑰彿涓(2... 2017-12-17 姹1/鏍瑰彿涓媋^2-x^2 dx a>0鐨勪笉瀹氱Н鍒 82 2012-11-20 瀹氱Н鍒嗏埆(a,0) 鏍瑰彿a^2-x^2 dx,a>0 2013-10-17 瀹氱Н鍒0-a 鏍瑰彿涓媋^2-x^2 dx 2 2017-05-03 鈭玔a,0]x^2路鏍瑰彿(a^2-x^2)dx姹傚畾绉垎...
绛旓細瑙ｉ杩囩▼濡備笅鍥撅細瀹氱Н鍒鏄Н鍒嗙殑涓绉嶏紝鏄嚱鏁癴(x)鍦ㄥ尯闂碵a,b]涓婄Н鍒嗗拰鐨勬瀬闄愩傝繖閲屽簲娉ㄦ剰瀹氱Н鍒嗕笌涓嶅畾绉垎涔嬮棿鐨勫叧绯伙細鑻ュ畾绉垎瀛樺湪锛屽垯瀹冩槸涓涓叿浣撶殑鏁板硷紙鏇茶竟姊舰鐨勯潰绉級锛岃屼笉瀹氱Н鍒嗘槸涓涓嚱鏁拌〃杈惧紡锛屽畠浠粎浠呭湪鏁板涓婃湁涓涓绠楀叧绯汇
绛旓細(0,a) 鈭玿²鈭(a²-x²) dx 鍘熷紡=(0,a)鈭(ax²鈭歔1-(x/a)²]dx 浠/a=sint,鍒檇x=acostdt,x=0鏃,t=0锛泋=a鏃,t=蟺/2.鏁呭師寮=(0,蟺/2)a⁴鈭玸in²tcos²tdt=(0,蟺/2)(a⁴/4)鈭玸in²(2t)dt=(0,蟺/2)(...
绛旓細= 0.5x鈭(a²-x²) + 0.5 a² arctan x/鈭(a²-x²) + C [0,a] 鈭垰(a²-x²)dx =0.5x鈭(a²-x²) + 0.5 a² arctan x/鈭(a²-x²) | [0,a]=0.5 a² arctan a/鈭(1-a²)= ...
绛旓細瀹氱Н鍒绉垎涓婇檺1涓嬮檺0,鏍瑰彿涓1-x^2dx= 姹傝В閲婃楠(杈撳叆涓嶄簡绗﹀彿,鐢ㄦ枃瀛椾唬鏇,甯屾湜鑳界湅鎳) 浣犵殑鍥炵瓟琚噰绾冲悗灏嗚幏寰: 绯荤粺濂栧姳15(璐㈠瘜鍊+鎴愰暱鍊)+闅鹃濂栧姳30(璐㈠瘜鍊+鎴愰暱鍊)1涓洖绛 #鐑# 浣滀负濂虫,浣犵敓娲讳腑鏈夋劅鍙楀埌鈥滀笉瀹夊叏鎰熲濈殑鏃跺埢鍚?鐧惧害缃戝弸af34c30f5 2014-09-12 路 TA鑾峰緱瓒呰繃4.4涓囦釜璧 ...
绛旓細绛旓細鈭垰(a²-x²)dx 璁緓=asint锛-蟺/2<=t<=蟺/2 =鈭玜costd(asint)=a²鈭玞os²tdt =(a²/2)鈭(1+cos2t)dt =(a²/2)(t+sin2t/2)=(a²/2)(t+sintcost)=(a²/2)[arcsin(x/a)+(x/a²)鈭(a²-x²)]=...
绛旓細鈭(0,蟺)鈭歔sinx-(sinx)^3]dx =鈭(0,蟺)鈭歔sinx(cosx)^2] =鈭(0,蟺/2)cosx鈭歴inxdx-鈭(蟺/2,蟺)cosx鈭歴inxdx =鈭(0,蟺/2)鈭歴inxdsinx-鈭(蟺/2,蟺)鈭歴inxdsinx =(2/3)(sinx)^(3/2)-(2/3)(sinx)^(3/2) =(2/3)(sin蟺/2)^(3/2)-(2/3)(sin0)^(3/2)-...
绛旓細鐢瀹氱Н鍒瀹氫箟姹傛瀬闄愭柟娉曞涓嬶細鎶1/n鏀捐繘姹傚拰鍙烽噷闈紝鏁翠釜鏋侀檺鍒氬ソ鏄"鏍瑰彿涓(1+x)"鍦╗0, 1]涓婄殑瀹氱Н鍒嗭紙鎶奫0,1]鍖洪棿n绛夊垎銆佹瘡涓皬鍖洪棿鍙栧彸绔偣鍋氭垚鐨勭Н鍒嗗拰鐨勬瀬闄愶級銆傛墍浠ワ紝鍘熸瀬闄=鏍瑰彿涓(1+x)浠0鍒1鐨勫畾绉垎=绉垎鍙蜂笅鈥滄牴鍙凤紙1+x锛夆漝(1+x)=2/3 (1+x)^(3/2)涓婇檺1涓嬮檺0=2/...
绛旓細鍖栨垚Sin 鎶 a鎻愬嚭鍘 鏍瑰彿涓鍙樻垚 1-锛坸/a锛塣2 鎶妜/a 鎹㈠厓鎴愪竴涓猻in 鎴栬 cos 灏辨悶瀹氬暒
