8/12/2019 Indefinite Integration Theory_e

1/24

HORJU

"homasjiuhorpjysaes.am" ?

Ag g & n or` gumetacms cg x suej tjot n (x) 8 g(x), tj`m amb`gamat` amt`nrotacm cg g(x) watj r`sp`et tc x as

b`gam`b omb b`mct`b os g(x) bx 8 n(x)+ E, wj`r` E as eoff`b tj`ecmstomt cg amt`nrotacm.

Utomborb Gcrhufo(a) (ox + l)m bx 8

ox l

o m

m

?

?+ E, m ?

(aa) bxox l

8?

om |ox + l| + E

(aaa) `ox+l bx 8?o

`ox+l + E

(av) opx+q bx 8 ?p

o

m o

px q

+ E9 o = 4

(v) sam (ox + l) bx 8?o

ecs (ox+ l) + E

(va) ecs (ox + l) bx 8?o

sam (ox + l) + E

(vaa) tom(ox+ l) bx 8?o

m |s`e(ox + l)| + E

(vaaa) ect(ox+ l)bx 8 ?o

m |sam(ox + l)| + E

(ax) s`e (ox + l) bx 8?

otom(ox + l) + E

(x) ecs`e(ox + l) bx 8 ?

o

ect(ox + l)+ E

(xa) s`e (ox + l). tom (ox + l) bx 8 ?

os`e (ox + l) + E

(xaa) ecs`e (ox + l). ect (ox + l) bx 8 ?

oecs`e (ox + l) + E

(xaaa) s`ex bx 8m |s`ex + tomx| + E C\ m