Used to watch your videos during 2023 on the more elementary topics, came across these videos of this channel today, pretty much right before I'm gonna start learning calc in school. Thanks!
Good day, Sir Steve! I'm a college student that is in an org wherein I'm assigned to teach my fellow students how to improve their solving of differential equations. I've been inspired by your videos for some time now and I would like to get some permission to replicate some of your examples in your video wherein you showed the common "misteaks" when solving calculus problems. Your response is deeply appreciated. Thanks in advance!
Thanks. You know how a "regular integral" could be interpreted as the area under the curve y=f(x) along the interval x from a to b, a "line integral" could be interpreted as the area under z=f(x,y) along the curve C on xy-plane (think about it as the area of a curtain in your room, with the base like a curve). There could be more to it so I will have to make more videos later.
A common application of line integrals is work. As an object moves along a given path, the work done on the object by a force field, is the line integral of the force field in a dot product with its infinitesimal movements along the path.
things like this are so interesting to watch when there’s no pressure to actually learn it 😭
Used to watch your videos during 2023 on the more elementary topics, came across these videos of this channel today, pretty much right before I'm gonna start learning calc in school. Thanks!
I have a test from this exercise tommorow, you Sir are a Godsend!
Good day, Sir Steve! I'm a college student that is in an org wherein I'm assigned to teach my fellow students how to improve their solving of differential equations. I've been inspired by your videos for some time now and I would like to get some permission to replicate some of your examples in your video wherein you showed the common "misteaks" when solving calculus problems. Your response is deeply appreciated. Thanks in advance!
Please make video on definition of line ,surface, volume integral.
Does anyone know a way to turn this 2d integral into a complex integral?
Hey bprp, great videp as always. I do want to ask what is the meaning of the result of the line integral? Like what does the result tell you?
Thanks. You know how a "regular integral" could be interpreted as the area under the curve y=f(x) along the interval x from a to b, a "line integral" could be interpreted as the area under z=f(x,y) along the curve C on xy-plane (think about it as the area of a curtain in your room, with the base like a curve). There could be more to it so I will have to make more videos later.
A common application of line integrals is work. As an object moves along a given path, the work done on the object by a force field, is the line integral of the force field in a dot product with its infinitesimal movements along the path.
With no other context, I default to thinking of the function as a density distribution, and the integral gets the total mass.
This is super useful!! (I’m in 9th grade honors algebra and have completely no idea what the hell just happened)
If only I had had these videos half a year ago
Super, Super cool 🎉🎉🎉🎉
Yo just found this channel,台灣人？
Yes.
Master can you integrate this : tanx/((1+tanx)(3+tanx)(5+tanx)) dx
I considered y =tanx for partial fraction alone ; instead of doing u = tanx and substituting du/1-t^2… because you will have do A B C D and E
im stuck on the integral of sin(6x)cos(x) for so long
i tried every single integration technique but i cant figure it out
You can break down sin(6x) using angle addition identities.
Hey. Can somebody help me with this integral?
x^2/(x^4+1)
My first thought is to substitute u=x² and then use a trigonometric substitution.