 
 
Students you can go to my playlist and watch all my videos
as the complete playlist is arranged topic wise
so you won't face any problem
as many students complain that sir we are not getting this topic that
topic so here topic wise
the complete playlist is arranged so you can watch all my videos here.
 
Hello students myself Dr. Gajendra Purohit and
you are watching my youtube channel where I upload videos
on higher mathematics for
bsc and engineering students.
Students if you are preparing for any competitive exams like
CSIR-NET, GATE, IIT-JEM or
any other competitive exam where
higher mathematics is asked so on my youtube channel videos are
very helpful for you and students the videos that I have uploaded here
that are
for bsc and engineering
that you can go and see on the I icon and students if you
like my topics on double integral and
questions on surface volume revolution that I have made you
so that you can see and after this
one more topic was left that is triple integral that
I am going to start today as for engineering and bsc students
this is a very important topic and there exams are about to come
so I want that I complete this topic so I
will complete this topic in 3-4 lectures in which
there is triple integral and after that there are some questions based on this and after that
we have dirichlet's theorem and questions based on that
that I will take front of you and after that we have taylor's series
for two variable that also I bring for you. So these 3-4
classes I will take so be with me and if you have not subscribed to my channel
then do subscribe and press the notification bell so that
for all my upcoming videos you keep getting the notification.
So students see here what is triple integral ?
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
So students this is theory
so no need to take tension as I will make you do the question so it will be more clear
as this is the introduction
like we do integral for any, do integration
like in integration we have to divide it in sub integral
and then we take different limits and
we solve it. This is what we are doing here but like
in double integral we talk about two dimension and in triple integral
we talk about three dimension so how we will do that, I will
make it clear while doing questions. So I feel that this concept must be clear to you
and now I will take one question and make it clear that how
we do triple integral here as question is asked in the exam
not the theory. So students see here
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
So this is how we find the volume. Clear? So the limit that I have written here
is the way how we write it. Now I will make you do the question so you will understand how we do it.
But this is my first part of the video in this I will
make you do the simple questions that do come in the exam but they are of different
types and these types of questions to find the volume like for the sphere,
for the ellipsoid or any curve is given to us
and they intersect each other so how there volume
is calculated that I will tell you now but today
in the first part I will take simple questions.
Here I told you how we take the limit now lets see the question
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
So this is how we solve these types of questions.
Now here I have told you that the limits are constant
but now here some limits are constant and some are variable so
how we will do that I will explain you in the next question.
So please note it down.
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
So students here
I have made you do questions on triple integral and you must have understood
and now next I am going to bring second part for this
and we will do some more questions on triple integration
like some of the theoretical questions
so for them how we have to do the triple integration
and how we find the volume with triple integration
that I am going to teach you. So students the topic that I have taught you
you must have understood and do watch its second part.
Be with me.
I am uploading good contents for you all and at the end there a playlist is coming
there you can go and watch the videos and here you can subscribe me.
Thank you so much. Bye
