<p>The base of a solid is bounded by y=x^3, y=0 and x=1. Find the volume of the solid with the following cross sections taken perpendicular to the x-axis.
a) square
b)equilateral triangle
c) trapizoid where h=b1=.5 b2 where b1 and b2 are the lengths of the upper and lower bases respectively.</p>
<p>Thanks</p>
<p>I don't know how to do that.</p>
<p>if this is too late, then sorry in advance, but this is really easy if you look at it the right way. Think of an integral as a fancy way to sum something. Now, you are summing something across and interval, namely 0 to 1. Now, what you are summing happens to be a geometrical figure, so set up an equation for the area of the figure. ie, a square is x^2, an equilateral triangle is (1/2)x * rt3/2x, etc. then take the integral and that's it.</p>