Evaluation of surface integral over the cylinder in first octant

surface integration over the cylinder x^2+y^2=16 and z=0 to z=5
Evaluation of surface integral over the cylinder in first octant

Dear students, based on students request , purpose of the final exams, i did chapter wise videos in PDF format, if u are interested, you can download Unit wise videos by clicking the below links
TEAM Education
• 3 hours ago
Click the links

Unit 1:ODE First order Differential Equations

Unit 2: Higher order DE.

Unit 3: Multiple Integrals

Unit 4:Vector Differential Calculus

Unit 5:Vector Integral Calculus Part 1

Unit 6: Vector Integral Calculus Part 2

Unit 7: Special Functions
Beta & Gamma Functions

Unit 8: Functions of Single Variables

[Crazy_Girl]

I m really very thankful to u sir.... actually I had a lot of confusion in take of region....now it's cleared.... really very happy sir

[anishagarg]

Thank u sir, i was really confused on xz plane and yz plane

[siddhantrathor]

Can we use simply Gauss divergence theorem and find volume for this instead of finding surface integral....?

[manojjha]

We are so much thankful for this video. Keep continue sir.

[aliyajafar]

Sir, all your classes are very clear and easily understandable, thankyou sir

[sriramulu]

Thank u very much sir .. it's really helped a lot for our exam.. Expecting some more videos from u sir...

[ShibaShankar]

Sir at 2:04 you described how to take ds.
I couldn't understand why you didn't take xy plane projection..and only xz projection? Normal vector is x i + y j that means normal of the surface lies in the xy plane. How to go from here?

[sphinx]

Really awesome, i understand very easily thank-you, . ☺️☺️☺️:)))) No confusion.

[garaishubha]

Thank you so much sir, ap ke bajese Mera ek confusion solved ho giya 🥰🥰🥰

[Pankajkumar-jpem]

Thank you sir for this video. I clearer my doubt about n^..

[tanoypaul]

Thank you sir. I am now out from the confusion...

[gaddamranganayakulu]

When I do in xz plane, in double integration y will not get cancelled like as X cancelled in taking yz plane.Then what to do sir?

[karthiks]

Sir, what is n.i ? And why do we have to divide on dydz

[Gulsaniya]

Sir i have a confusion regarding taking the value of n bar, bcz in the formula you put n cap value while solving
Can you please clear the doubt

[kinthalisantosh]

Why cant we use gauss divergence theoram here.. applying theoram.. i am getting 240π

[vemulalavanya]

If limits are not given which plane we have to consider?

[swayamjha]

But why to find the limits of y we lut x=0?

[sahukarisidhivinayaka]

Sir can we solve by using zx plane....??

[sauravacharya]

Why have you chosen yz plane and not xz plane?

[vasundharac]

Ur explanation is good but noise is more can't focus..please check