Question

Find the area of the region bounded by the parabola y = 1 + 2x - x^2 and the parabola y = 1 + x^2. Please show the steps involved to obtain the boundaries.

Please be legible and do not use cursive. Please show all work, including ALL algebra. Thank you for your help!

Answer #1

The given curves are,

For points of intersection,

We can plot the region as follows,

The area of the region is given by,

integrate wrt x,

plugin the limits,

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