How do you find the area of the region bounded by the spiral #r=7theta# for #0<=theta<=pi#?

1 Answer
Ultrilliam
Jul 14, 2018

#A = 1/2 int_(Delta theta) r^2 d theta#

# = 1/2 int_0^pi (7theta)^2 d theta#

# = 49/2 [theta^3/3]_0^pi#

# = 49/6 pi^3 #

The graphing tool can't seem to handle this, and there is no draw tool here, so I found this image online:

www.chegg.com

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