This Is a Sketch of the Region Between the Two $x ^ { 2 }$

True/False

This is a sketch of the region between the two curves y = $x ^ { 2 }$ - 15, below the x-axis and also below the line $y = - 2 x$ Does the following represent the area of the region? $$\int _ { - \sqrt { 15 } } ^ { 0 } \left( x ^ { 2 } - 15 \right) d x + \int _ { 0 } ^ { 3 } \left( - x ^ { 2 } - 2 x + 15 \right) d x$$