Yr2 Hyperbolic Functions Flashcards
1
Q
Substitution for the integration can be guessed from the question and the FG…
A
x = (3/2) sinh u, the coefficient of this can be found through a/(coefficient of x)
2
Q
The limit for x is where…
A
the denominator is equal to 0
3
Q
Remember the ln may have…
A
+- in front of it
4
Q
Remember when you know that you need x^2…
A
REARRANGE FOR X
5
Q
When integrating by parts…
A
I would try both u and v and integrate to save time (in-case your wrong).
6
Q
To show that something is divergent…
A
as t -> ∞, e^t -> ∞ and e^-t -> 0, therefore it is divergent.
7
Q
Remember that sin, cos and tan…
A
have a range of solutions that must be -1 < p < 1, and this range can be changed based on the multiple in front of the range.