Area of the region {(x,y)}∈ℝ2:y≥∣x+3∣,5y≤x+9≤15 is equal to

Area =∫−41x+95dx−∫−4−3−x−3 dx −∫−3−1x+3dx        =15x22+9x−41+23−x−332−3−4−23x+3321−3        =15192+28+230−1−238        =1920+285−6=32