考研常用积分公式（范文篇）.docVIP

考研常用积分公式（范文4篇） 以下是网友分享的关于考研常用积分公式的资料4篇，希望对您有所帮助，就爱阅读感谢您的支持。 考研常用积分公式（1） (x μ)/ =μx μ-1 (a x )/ =a x ln a (e x ) / =e x (log / 1a x )=x ln a (ln x )/ 1=x (sin x )/ =cos x (cos x )/ =-sin x (tan x )/ =sec 2x (cot x )/ =-csc 2x (sec x )/ =sec x tan x (csc x )/ =-csc x cot x (arcsin x ) / = (arccos x )/ =(1arctan x )/ =1+x 2 (arccot x )/=-11+x 2 (uv ) / =u /v +uv / ?u ?/ u /v -uv / ?v ??=v 2 ?kdx =kx x μ+1 ?x μ dx =μ+1 ?dx x =ln x ?dx 1+x 2=arctan x =arcsin x ?cos xdx =sin x ?sin xdx =-cos x ?sec 2xdx =tan x ?cs c 2 xdx =-cot x ?sec x tan xdx =sec x ?csc x cot xdx =-csc x ?e x dx =e x ?a x dx =a x ln a ?tan xdx =-ln cos x ?cot xdx =ln sin x ?sec xdx =ln sec x +tan x ?csc xdx =ln csc x -cot x ?11x 2+a 2 dx =a arctan x a ?11x -x 2-a 2dx =2 a ln a x +a =ln x x =arcsin a 等价无穷小(x →0) sin x ~x tan x ~x arcsin x ~x arctan x ~x ln(1+x ) ~ x e x -1~x 121-cos x ~2x 11~2x a x -1~x ln a f (x )渐近线k =lim x →∞x b = lim x →∞ ??f (x )-kx ?? y // 曲率k = ( 31+y /2) 2 1 考研常用积分公式（2） / / (x ) μ =μx x μ-1 (arctan x )=(arc cot x ) / 11+x 2 ?cs c xdx =-cot x 2 2 ? 1=arcsin x a (a ) x / =a ln a =e /x =- 11+x / ?sec x tan xdx =?csc x cot xdx =?e dx =e ?a dx = x x x sec x 等价无穷小(x →0) -csc x sin x ~x tan x ~x (e ) x / (uv ) 1x ln a / =u v +uv / / / (log a x )(ln x ) / = = / 1x u v -uv ?u ?= ?2 v v ?? / a x arcsin x ~x (sin x ) ?kdx =kx ln a arctan x ~x =cos x (cos x )(tan x )(cot x )(sec x )(csc x ) / =-sin x =sec x =-csc x =sec x tan x =-csc x cot x / 22 ? x dx = μ x μ+1 μ+1 ?tan xdx =-ln cos x ?cot xdx =?sec xdx = ln sin x ln sec x +tan x ln(1+x ) ~x e -1~x x / ? dx / ?1+x x dx =ln x =arctan x 1-cos x ~ 12 x 12x 2 2 / ? ?csc xdx =ln csc x -cot x =arcsin x 1~ x / ?x ?x 1 2 +a 1 2 dx = 1a arctan x a a -1~x ln a (arcsin x ) = ?cos xdx = sin x 2 -a 2 dx = 12a ln x -a x + a 渐近线k =lim f (x ) x x →∞ ?sin xdx = 2 -cos x (arccos x ) / =- 1?sec xdx =tan x ? =ln x + b =lim ??f (x )-kx ?? x →∞ 必威体育精装版下载(NewD) 中国最大、最专业的学习资料下载站 转载请保留本信息 曲率k = y // 32 (1+y ) /2 必威体育精装版