常用求导公式表

(10) (cotx)

(HXs^cx) =secx*tanx

1

(12)(cscx) =-cscx*a )tx

1

(14)(arccosx) =--v

(15)(arctanx) = 1 十 x

(16) (^rccot x)= ---------------------------

；

1 + JC

3、基本积分公式

(2) lx u dx = — x a ^ +C

(4) fa J Jx = —+ C

」 Inn (6 ) J sin xdx = -cos x + C

(8) [sec 2 xdx- f —

: = tan A + C

J

J COS' A

J - dx = arcian x + c

1、 求导法则: 2. 常用公式表

(3) (cu) =cu

(4) (uv) =uv +u v

(5)

r

ll ) wV — WV Z

基本求导公式：

(1) (c)

=0

(2) (x") ^ax"1

1

(3) (a ) Z =a ' Ina

1 (4) (e A ) Z =c' <5)(吨=x\na

(6)

(7) (sinx) =C <)SK

(8)( cosx ) =-sinx

1

(1 )(U+V ) =11 +V

(2) (u-v) =w -v (9) (tanx) l (cosx) =(secx )

(1) J kdx=kx+c

(13)(arcsinx)=

n,v + c

n A + C dx = arcsin x + c

sec xdx = ln|sec x + tan + C

~-dx = — arcian —+ C

(C + x" a a

积分定理：

⑴［打伽］=/M

⑵二/皿)W(x)-/b(x)W(x)

r f (x)dx = F(A) : = F(Z?) — F(a)

(3)若F (x)是f (x)的一个原函数，则丄八/ '几

积分方法____

(1)j r(x) = >/^x + /?；设：Jax + b =/

(2)/(x) = ^l(f - A3 :设：x = ^sin/

(3) =-£"J'(x\lx (4)