MAC 2312 Lecture 7: 7.5 strategy of integration
20 Jun 2018
School
Department
Course
Professor
Strategy of Integration Thursday
.June 7th
Example '
gs,
urzinr dr
In
: Integration by parts
fcr
)= In r
gkr )= 4r2
fccr
)=f- g(r) =±zr3
= lnr 'S r3 -f13 r÷ =lnr 'S r3 -If r2 dr =1nr4zr3 -Iz .}r3
= inr±zr3 -¥r3 = r3 (Fehr -It )|5,
53151ns -¥)-(III
)°
12554.1ns . 122T =Sgt ins -Sgt
Example 2
gBz 35×2
-dx
÷
0
soln :
×= sin O
,
FE = COS O
,
d× = cos Odo
×=o
,
0=0
,
× =FE = Sino ,
O =Iz
35 )o¥ foggy . cos do =355¥ sin2O do =35g'Fo(licz0s2•_)do
=3÷[ I.tied
