Integration by substitution

[adartsesirhc]

1. The problem statement, all variables and given/known data
Use substitution to evaluate the integral.
\int \frac{4cos(t)}{(2+sin(t))^2}dt


2. Relevant equations
None, really.


3. The attempt at a solution
I'm not sure what to use as u, for the substitution. I've tried (2+sin(t))^2, as well as other attempts, but I can't seem to find anything.

[adartsesirhc]

Sorry, I meant
\int \frac{4cos(t)}{(2+sin(t))^2}dt

[gabbagabbahey]

Why not try u=2+sin(t) ?:wink:

[Mark44]

1. The problem statement, all variables and given/known data
Use substitution to evaluate the integral.
\int \frac{4cos(t)}{(2+sin(t))^2}dt


2. Relevant equations
None, really.


3. The attempt at a solution
I'm not sure what to use as u, for the substitution. I've tried (2+sin(t))^2, as well as other attempts, but I can't seem to find anything.

Always try a simple substitution before you try the more complicated substitutions. If your simple substitution doesn't work, you won't have wasted much time.