Page 283 - 1300 Math Formulas
P. 283
CHAPTER 9. INTEGRAL CALCULUS
========= = ∫∫∫ Ñ ( ê θÅçë ϕ ëáå θëáå ϕ Åçë θ ê O ëáå θÇêÇ θÇ ϕ I==
ê
I
ê
) ëáå
I
p
ïÜÉêÉ=íÜÉ=ëçäáÇ=p=áë=íÜÉ=éìääÄ~Åâ=çÑ=d=áå=ëéÜÉêáÅ~ä=ÅççêÇá-
å~íÉëK=qÜÉ=~åÖäÉ==θ ==ê~åÖÉë==Ñêçã==M=íç== π I==íÜÉ==~åÖäÉ==ϕ =
O
ê~åÖÉë=Ñêçã=M=íç= πK==
=
======= =
=
Figure 202.
=
1109. sçäìãÉ=çÑ=~=pçäáÇ=
s = ∫∫∫ ÇñÇóÇò =
d
=
1110. sçäìãÉ=áå=`óäáåÇêáÅ~ä=`ççêÇáå~íÉë=
s = ∫∫∫ êÇêÇθ Çò =
p ( ò I ) I ê θ
=
1111. sçäìãÉ=áå=péÜÉêáÅ~ä=`ççêÇáå~íÉë=
s = ∫∫∫ ê O ëáå θÇêÇ θÇ ϕ=
p ( I ê ϕ ) θI
=
273