Double Integrals - Changing Order of Integration - Full Ex.

In this video, I show an example of how to switch the order of integration. I also integrate the function to get the final answer.

[salmanhaider]

10 years later and you're still saving lives and giving people their engineering degrees. Thanks Pat.

[KateOB]

I love how basic you make everything, I'm so bored of lecturers complicating and confusing me with unnecessary lingo and explanations. I can honestly say you got me through my first year BSc Maths, now in my second and still watching you for help. Thank you for taking it back to basics!

[KumarHemjeet]

a 700 page book didn't work but this 8 min video made my whole concept clear .thank you :)

[akihaanpaa]

First of all, thank You! I was revising for my "University math for engineers #4" -course exam (which is, frankly, tomorrow) and got really stuck with these double integrals especially hte changing order of integration. Honestly, I can't even describe how frustratingly I was almost about to give up. But now, all the challenges are overcome and I'm proceeding. Wishing You a happy spring!

[skyartineer]

Time it took Patrick to get me to understand this: 8 mins 35 seconds
Time it took professor to get me to understand this: I never did to the infinity.

[marklee]

I do not know why many textbooks cannot teach as clearly as you do. Perhaps you understand the difficulties of a beginner learner. This was an amazing explanation.

[richmondstarbuck]

I spent hours pouring over my lecture notes and Calc III book trying to understand this topic without success, but 4 minutes into your video it made complete sense to me. Very well presented--it's incredible to me that my Profs can't explain these topics with 1/10th the clarity. I think your videos are going to become my go-to source for learning new mathematics concepts. Thank you so so much Patrick!

[ChaoticMonado]

Dude, you are a life saver! I came across this example randomly and was able to use your step by step guide to help me with my Reverse Order problems!

[CasperA]

Calc 2 exam tomorrow. Videos like this are a life saver when you still have two weeks of work to do.

[LilDark]

i have a calculus exam after 2 hours, your videos allowed me to understand everything i took in the last 3 months. thank you :)

[thepakman]

once I get a job (after I graduate).. I'm going to donate a lot of money to you because you helped me so much with calculus when I felt I was alone and would never get it. THANKS!

[StrawberrySong]

You explain this better than my math lecturer at MIT!!

[caleb]

Thank God for this man otherwise I would have never passed calc. 1-3. I paid around 8, 000 for all my calc classes including drops; I would have much rather wrote him a check for 8, 000 and could have done it in half the time. Not to mention he actually deserves the money instead of my teachers who do absolutely NOTHING!!!! Patrick I doubt you see this but know you da real mvp and the GOAT

[yulchaudhary]

13 years later and you still saved me from failing cal love you man

[chinmaychaudhari]

are a tutor taught this to me...nearly 5-6 times....but still it did not enterd my hard skull, but i just walched half a video....its got to long sir/brother

[Sarelzayeth]

Just to say, you helped me with my A levels, and now you are still helping me with the second year of my degree! Without this video, I could not have changed limits of a continuous-time Markov chain integral to compute the probability of a state being reached before an exponentially distributed alarm clock going off. This turned out to be the Feller process resolvent of the first hitting time density function at the exponential parameter of the alarm clock! Fantastic quality videos and a great graphical representation! 10/10 

[darkdingo]

watching your videos for 3 years in a row now (calc 2, ib hl, calc 3). best teacher

[Escapst]

Found this very tricky and complicated to grasp, because my lecturer decided to make it sound as complicated as possible. You simplified everything. Thank you!

[xaviorjr.]

I m here after to watch 12 year old video, which still cleared the concept perfectly for the question that came in my exam... Thankyou

[mathCS]

13 years later this is still helpful :) :)