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Find the area of the region bounded by x2 + 16y = 0 and its latus rectum.
This is a simple problem of the area under the two curves.
Step 1: Find the latus rectum and its intersection points with the parabola.
As following the above questions procedure:
We find the equation of latus rectum as
And the intersection points:
Step 2: Integrating the expression to find the area enclosed by the curves.