What is the integral of: (4sin(x))/(2+cos(x)) and please explain the method. Thank you.
You want to compute the antiderivative of
That is .
Let
Then you can differentiate both side to find that
We notice that in the integral above we have at the denominator.
This corresponds to
We can now substitute in the integral to simplify the notation.
This should now remember you something.
because we substitute math] u = 2 + cos(x) [/tex].
You may use logarithm properties to express your answer as
where C is a constant number. Don't forget it. I use to and teachers will take off mark any time for this little mistake.