I am trying to find the area A of the region enclosed by the spiral r=2 theta and the x-axis over the interval theta between 0 and pi inclusive. I tried the following: $$A= \int_{0}^{\pi} \int_{r=0}^{2\theta} dr d\theta$$
However this is wrong. Intuitively this integral makes sense to me so I’m confused why it’s not right.