Ok, I think I've worked out your explanation.
Integral in terms of x using n is
And on you go, hopefully....if I can work LaTeX
I need help with this question
Use integration by parts to express:
I(n) = (int) sin^n(x) dx
in terms of I(n - 2). Hence show that:
(int) between pi/4 & pi/2 1/ sin^4(x) dx =4 / 3
help would be much appreciated
cheers.
Hello, sterps!
This is a Reduction Formula derivation.
It's quite long and elaborate . . . better sit down.
Use integration by parts to express:
in terms of
Given: .
Let:
Then:
We have: .
. . . . . . . .
. . . . . . . .
. . . . . . . .
. . . . . . . .
. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . This is
We have: .
. . . . . . . .
Therefore: .
Whew! . . . I need a nap . . .