Question

Is there a way to change the limits of integration on double and triple integrals without drawing a picture every time?

Answer 1

That is an excellent question. Fortunately, the answer is "yes" and it is highly recommended that you do so. Unfortunately, there is no concrete way to train you to do this. The connection to a drawing gets very, very useless with any dimension higher than 3. You have to let go of your finite imagination to do it.

Answer 2

I'm glad, any keywords I can search for somewhere that explains this or should I just try to figure it out on my own? I am taking linear algebra which basically lets you do stuff in n-dimensional space which I'm "comfortable" with to a degree lol.

Answer 3

I've never seen a good effort, anywhere. Text books are filled with concrete examples and pretty drawings. Letting go of the 3D world can be a challenge. Good luck, though. It is a worthwhile effort.

Answer 4

Thanks, I'll try.