Find the area of the shaded region r=v? PLEASE HELP!

Question

Find the area of the shaded region r=√θ (r is equal to the square root of theta)

 

I can't show the picture but the shaded region is in the fourth quadrant.

 

Thanks in advance! 

Answer 1

First you need to find the interval of integration [a, b] (interval of angles in radians). The graph starts at angle a and finishes at angle b

 

Then integrate r² = θ between a and b