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Question:

Area of region (x,y) ∈ R²: y ≥ √|x+3|, 5y ≤ x+9 ≤ 15 is equal to

53

16

43

32

Solution:

AreaABE(under parabola)=∫₋₃₋₁√-x dx=2/3
AreaBCD(under parabola)=∫₁⁵√x+3dx=16/3
Area of trapeziumACDE=1/2(1+2)5=15/2
Required area=15/2 + 6/3 + 16/3 = 32