Deem_Skills
Member
- Joined
- Jul 13, 2022
- Messages
- 71
- Gender
- Male
- HSC
- 2024
Integration question (1 Viewer)
- Thread starter Deem_Skills
- Start date
Would the following working help for Question 2?
Note that this working answers a very similar version of this question, the only difference being that
is expressed as C, as follows:
Note that this working answers a very similar version of this question, the only difference being that
for question 4
we are trying to finddx)
as we know f(x+3) is basically f(x) shifted 3 units to the left, hence we can say thatdx=\int^{4}_{-4}f(x+3)dx)
or we can use the substitution u=x+3 to show the same thing
now we can splitdx)
into dx+\int^{0}_{-1}f(x)dx)
using that identity given we can evaluate thatdx=6272)
to finddx)
we have to use the fact that f(x) is odd, which means that dx=-\int^{1}_{0}f(x)dx)
you can also get this result by using the substitution u=-x
thusdx=-2)
thereforedx=6272-2=6270)
we are trying to find
as we know f(x+3) is basically f(x) shifted 3 units to the left, hence we can say that
now we can split
using that identity given we can evaluate that
to find
thus
therefore