Hi,
The graphs of y = 4 and y = 1 - x meet at (-3, 4). The required area will be (area from y = 4 down to the x-axis) MINUS (area from y = 1 - x down to x-axis), starting at x = -3 and ending at x = 0. So, your calculation will be
INTEGRAL (-3 to 0) of 4 MINUS INTEGRAL (-3 to 0) of 1...