(adsbygoogle = window.adsbygoogle || []).push({}); 1. The problem statement, all variables and given/known data

Draw a circle centered on the origin with radius 2. Draw the vertical line x = 1. Find the area bounded on the left by x=1 and on the right by the circle.

2. Relevant equations

Area of a circle: x[tex]^{2}[/tex] + y[tex]^{2}[/tex] = r[tex]^{2}[/tex]. In this race, r = 2

Polar coordinates:

x = p cos([tex]\theta[/tex])

y = p sin([tex]\theta[/tex])

3. The attempt at a solution

At first I tried to solve this in rectangular coordinates, using the equation y = [tex]\sqrt{4 - x^{2}}[/tex] and integrating it from 1 to 2. However the antiderivative for that is messy as heck, and this is supposed to be a simple problem. I'm trying to do it in polar coords, but I'm at a loss as how to bound the integral in that case.

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# Homework Help: Integration of part of a circle

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