As in Jim Coroneos' integral No. 29 - the t substitution was funny and clever. Ending with partial fractions was quite unexpected ! Solving them has already been explained in some of the previous videos in the series. But it remains exciting how two just slighly different factors in two integral examples led to two quite different integrals and quite different solutions. Fascinating!And, yes those "expensive eraser" are quite unique ;-)Keep on doing funny and valuable videos, dear Graeme!
+MrVoayer I'm glad that you enjoyed my 'expensive eraser,' Mr Voayer. It is slowly wearing out, so I must remember to find a replacement for it :-). It is, indeed, fascinating how small changes in functions can result in quite different integration results. You will enjoy the next video in which Jim makes another small change to these two integrals (i.e. creates another member of the family) which produces a rather startlingly simple result! I am certain that it was a result of his mischievous sense of humour! Warm regards to you, friend, and thank you for your encouragement and your thoughts. Both are appreciated.
Sorry, Oscar. I was not notified of your comment and just found it. This is the substitution method using t-formulae (or half-angle formulae). Best wishes, and thank you for your question (and encouraging comment). Graeme
As in Jim Coroneos' integral No. 29 - the t substitution was funny and clever. Ending with partial fractions was quite unexpected ! Solving them has already been explained in some of the previous videos in the series. But it remains exciting how two just slighly different factors in two integral examples led to two quite different integrals and quite different solutions. Fascinating!And, yes those "expensive eraser" are quite unique ;-)Keep on doing funny and valuable videos, dear Graeme!
+MrVoayer I'm glad that you enjoyed my 'expensive eraser,' Mr Voayer. It is slowly wearing out, so I must remember to find a replacement for it :-).
It is, indeed, fascinating how small changes in functions can result in quite different integration results. You will enjoy the next video in which Jim makes another small change to these two integrals (i.e. creates another member of the family) which produces a rather startlingly simple result! I am certain that it was a result of his mischievous sense of humour!
Warm regards to you, friend, and thank you for your encouragement and your thoughts. Both are appreciated.
MrVoayer knokkkbbbbb89i8ij
"Expensive eraser" haha I was laughing like hell when you said that :)
:-)
It is good to see that you read the comments, Harish. One can learn a lot by doing that.
Best wishes to you,
Graeme
Great channel my friend
Just one question, how is this method called?
Sorry, Oscar. I was not notified of your comment and just found it.
This is the substitution method using t-formulae (or half-angle formulae).
Best wishes, and thank you for your question (and encouraging comment).
Graeme
Thq sir
You are welcome, Lucky.