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!
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,
I hope this answer helps,
Thanks,
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