高数课程妥媒血课件 理工大理>> (13)adx +c (20)」224x= arctan+C a+x (14)shed=chx+C (21) +C (15)chxdx=shx +C a x+a (22J_22d a+r (16)tan xd=-In cos x+C n +c 2a a-x (17)cot xdr=Insinx+C (23)∫-2、2= arcsin+C a -d (18)sec xdr=In(sec x+tan x)+C (24) x2±a (19)csc xdx= In(csc x-cot x)+C =In(x+√x2±a2)+C Http://www.heut.edu.cn a dx = x (13) C a a x + ln  (16) tan xdx = −lncos x +C  (17) cot xdx = lnsin x +C  (18) sec xdx = ln(sec x + tan x) +C  (19) csc xdx = ln(csc x − cot x) +C C a x a dx a x = + +  arctan 1 1 (20) 2 2 C a x a x a dx a x + − + = −  ln 2 1 1 (22) 2 2 C a x dx a x = + −  arcsin 1 (23) 2 2 x x a C dx x a = +  +   ln( ) 1 (24) 2 2 2 2 C x a x a a dx x a + + − = −  ln 2 1 1 (21) 2 2 x +C  (14) shxdx = ch (15)  chxdx = shx +C