Lec 17.Multiple Integrals| Region of Integration Bounded by Sphere x²+y²+z²=a²| Part 5 | Ashish Sir

Here,We have Solved Numerical 7 and 8 Based on
Region of Integration Bounded by Sphere
I,e Evaluate Triple Integration over the Volume Of Sphere enclosed by
i) x²+y²+z²=16 and x²+y²+z²=25
ii) x²+y²+z²=a² and x²+y²+z²=b²

Always Remember📝
Cartesian to Spherical coordinate For Given Integral
I,e
x=rsinθcosΦ
y=rsinθsinΦ
z=rcosθ
dxdydx=rdrdθdΦ
x²+y²+z²=r²

For Octant of Sphere
Limits
r = 0 to a
θ= 0 to π/2
Φ= 0 to π/2

For Whole Sphere
Multiply Above integral by 8

For Hemisphere
Multiply Above integral by 4
👉Multiple Integration|Triple Integration| Applied mathematics 2: https://www.youtube.com/playlist?list=PLyfhS7Ft-HyPXja7yFQjjpkB0OqQPAElh

👉Multiple Integration| Double Integration| Applied mathematics 2: https://www.youtube.com/playlist?list=PLyfhS7Ft-HyPf-WWGayyYDn96ex1Cg5jf

👉Complete Playlist of Beta And Gamma Functions Chapter
https://youtube.com/playlist?list=PLyfhS7Ft-HyN2thDXmQviam92EOuLdoY8&si=8UkSorz5Fu4n4tc1

👉For Detail Differentiation and Integration Formula's https://www.youtube.com/playlist?list=PLyfhS7Ft-HyOIKSmwIQ0Oxg4KE65p0FHZ

For Doubt/Offline Class Enquiry
WhatsApp:- 8286798454

Do Share our Videos to needy one🙏

Download our Friends Academy Application From Google Playstore
https://qoluad.on-app.in/app/home?orgCode=qoluad

#regionofintegrations
#multipleintegrals
#doubleintegrals
#doubleintegration
#tripleintegral
#tripleintegrations
#friendsacademy
#betaandgammafunctions
#mumbaiuniversityexamnews
#engineeringmathematics
#engineeringcourse
#indefiniteintegrationclass12
#appliedmathematics2
#bscmaths
#1styearmath
#evaluation

Видео Lec 17.Multiple Integrals| Region of Integration Bounded by Sphere x²+y²+z²=a²| Part 5 | Ashish Sir канала FRIENDS ACADEMY