Find the area of the bounded region

1. Nov 29, 2014

tix24

Hi guys im very new here this is my second post. (sorry in advance i dont know how to use the functions of the site fully yet)

i think this is the correct method to follow, some feedback or hints would be great thanks in advance!!

1. The problem statement, all variables and given/known data

Find the area bounded by where 0≤theta≤pie

r=1/√(1+theta)
2. Relevant equations

3. The attempt at a solution
(∫ dtheta ) (∫rdr)

bounds of integration ∫dtheta from o to pie

bounds of integration ∫rdr from 0 to r=1/√(1+theta)

2. Nov 29, 2014

Orodruin

Staff Emeritus
Good start, now you just need to perform the integrals.

3. Nov 29, 2014

tix24

im more worried about the method, we are suppose to use double integrals, but i got confused over the graph of this function. I checked it in wolfram and it was looping in it self, that is why i dont know if the integrals are set up correctly or not.
any tips regarding the set up of the integral it self?

4. Nov 29, 2014

Orodruin

Staff Emeritus
You already did. Naturally, if you give the radius as a function of an angle, you will get some sort of loop or spiral unless you bound the argument. In your case it is bounded to be between 0 and π.

5. Nov 29, 2014

tix24

thank you very much, it was very helpful of you