Question

Find the centroid (¯ x, ¯ y) of the region bounded by:
y = 6x^2+7x, y = 0, x = 0,
and x = 7

Answer 1

See here:

http://www.intmath.com/applications-integration/5-centroid-area.php

scroll down for a nice example, with steps for solution.

Answer 2

shut up steve they asked for the answer not for a link to a similar problem