Something like this is just dodgeAre the t-formula results ever 'unavoidable'
(I know that theoretically they are obviously unavoidable, but sitting in the middle of a 4U hsc exam is it still feasible to avoid them?)
Thanks
Haha thats exactly the type of question I meantSomething like this is just dodge
Sit next to me and ...Are the t-formula results ever 'unavoidable'
(I know that theoretically they are obviously unavoidable, but sitting in the middle of a 4U hsc exam is it still feasible to avoid them?)
LOL If only I couldSit next to me and ...
well you know how the rest goes.
Pretty sure I have a formula for that integral form.....Something like this is just dodge
AlsoSomething like this is just dodge
Went in balls deepAlso
1. Yuck. The numbers aren't even nice. Would have been lovely to have 3sinx + 4cosx but nooooooooo you didn't give me a correctly ordered pythagorean triple
2. t-formula is messy answer anyway, since it involves a fair bit of surds
3. *flies away*
I had √2, √3 appear in the answer.Went in balls deep
Didn't seem too bad unless I screwed up completely LOL
I had √2, √3 appear in the answer.
If I see more than one non-square number under a square root, I will immediately back out and look to see if there is a better path to the answer.
Otherwise, proceed through the flames of hell.
It's a definite integral... :L
What did I do wrong this time
Rip
Not even half as bad as I thought it was, but still not particularly nice.It's a definite integral... :L
Which also reminded me I did the borders incorrectly.
Time to redo this.
The Auxiliary Transformation and the Tangent Half Angle Substitution will be guaranteed to be nice for (asinx + bcosx + c)-1 IFF (a,b,c) is a Pythagorean Triple.I recall doing a similar integral a few days ago, from Bob Aus's book.
Using the usual t-formulae:
That's interesting. I have not investigated, but I noticed that in both integrals, {3,4,5} and {5,12,13} are Pythagorean Triples.The Auxiliary Transformation and the Tangent Half Angle Substitution will be guaranteed to be nice for (asinx + bcosx + c)-1 IFF (a,b,c) is a Pythagorean Triple.