Question

Find the area of the region bounded by two curves x^2 + y+4 =0; y=-8. . Take the elements of area perpendicular to the y-axis. find also the limit

Answer 1

Here's the region of interest:

First recognize that the parabola is symmetric, so we can find the area with an integral manipulation like \(\int_{-c}^c=2\int_0^c\).