In: Computer Science
What is the area of the region bounded by given curves, x^2 + 4x - 2y + 2 = 0 and y = 0?
First we need to find the points of intersection of the two curves
x2+4x−2y+2=0
⟹x2+4x+2=0
∵y=0
⟹x=−4±16−8−−−−−√2=−4±22–√2=−2±√2
2y=x2+4x+2
⟹y=12(x2+4x+2)
which above picture is showing that the reagion the area bounded by the given curve.
Given below