An interesting point that can be made is that the constant c in each component of the antiderivative of 1/x need not actually agree. The singularity at 0 for 1/x disconnects the domains so the antiderivative isn't necessarily unique up to constants. A similar result can be seen for disconnected domains in R^2, a differentiable function with derivative identically zero on an open set in R^2 is constant PROVIDED the open set is connected.
I noticed that you didn't cover any integrals of ln(x) or ln[f(x)], are these integrals not in the course for where you teach? or have you just not covered them yet?
you are awesome.. thank you so much for your videos
Explained exceptionally well
An interesting point that can be made is that the constant c in each component of the antiderivative of 1/x need not actually agree. The singularity at 0 for 1/x disconnects the domains so the antiderivative isn't necessarily unique up to constants. A similar result can be seen for disconnected domains in R^2, a differentiable function with derivative identically zero on an open set in R^2 is constant PROVIDED the open set is connected.
At 6:05 isn’t that a divergent function or something
I noticed that you didn't cover any integrals of ln(x) or ln[f(x)], are these integrals not in the course for where you teach? or have you just not covered them yet?
Thank you dear sir❤️
How long is a lesson/period if you spend 20 minutes teaching?
Sir please teach on Partial Differentiation Equations. Thanks in advance.😊
Nice sir
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Thank u Sir
nice vid
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This man makes me like Calculus again....
Hell, math in general. He should come to my school.....
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