SOLUTION: Find the area or the region bounded by the curves y = x^3 and y = x.

Question 1085535: Find the area or the region bounded by the curves y = x^3 and y = x.
Answer by math_helper(2461) (Show Source): You can put this solution on YOUR website!

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Noting that the curves cross at x=0 and x=1, with on that interval, and by symmetry, the total area bounded is twice the area of the bounded region in the first quadrant, we can integrate from 0 to 1 and then just double it.

<<< evaluated at 1 and 0

======================
For v(t) = −t^2 + 6, the displacement on t=0 to t=6 is:

= evaluated at t=6 and t=0
=
=
The interpretation of -36ft means the displacement is "to the left" assuming you are using the usual convention of positive displacement/velocity/accelerations toward the right, along the positive x-axis.

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