t.in tegis scala
TRANSCRIPT
t.in tegIs scala ec 26.4
Line integral integral along a curve
7 A
µV fds
f gs are length
The formulas If ECH fora et Eb is
a smooth parameterization for a
curve C then
fds fab f eat DF LAH dt
FactsD Seds tenth og C
a a length from t a up to t is
IT fat HF y dy
Ft F LAH JrIs 11 F'Ctl Hdt
Examples
D 115 C is line from C I 1 to Cc 2
A
iwhere
L l i
Fz C l Z
E L l i t t L 2,3
F Lz 37
HE'll 4 7 V'T
x I atf 4x y J y it 3T
4C it 2T C list
3 5T
foes So C 3tsttfdt
rfsftE.tt I o Eris
2 2123
x Ycost
1 t t t
T L 4sint 4cost 37
not II VT6tg 5
x 4costf xy 16 cost sint y 4sint
fois fo T6 cost sint Sdt41T
40 Sint to O