We went over this stuff in class, and I was fine doing the examples, but now I can't do the homework.
The first is:
Integral of (sec(x)dx)/(sqrt(secx+tanx))
Any hints or ideas of where I can start?
Also:
Find the derivative, logarithmically, of y = (x*sin(x))/sqrt(sec(x))
I tried this one just using the quotient rule for derivatives, and it turned out pretty bad.
Hello, mistykz!
What you covered in class may not have prepared you for this integral.
Multiply by
Now let
If you differentiated logarithmically, there are no quotients involved!Use logarithmic differentiation: .
Take logs: .
Differentiate implicitly: .
Then: .