Yr2 Hyperbolic Functions

Question 1

Substitution for the integration can be guessed from the question and the FG…

Answer 1

x = (3/2) sinh u, the coefficient of this can be found through a/(coefficient of x)

Question 2

The limit for x is where…

Answer 2

the denominator is equal to 0

Question 3

Remember the ln may have…

Answer 3

+- in front of it

Question 4

Remember when you know that you need x^2…

Answer 4

REARRANGE FOR X

Question 5

When integrating by parts…

Answer 5

I would try both u and v and integrate to save time (in-case your wrong).

Question 6

To show that something is divergent…

Answer 6

as t -> ∞, e^t -> ∞ and e^-t -> 0, therefore it is divergent.

Question 7

Remember that sin, cos and tan…

Answer 7

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.