A continuous function p satisfies the following:
• p(x)≥0 on [−4,−1] and on [2,6]
• p(x)≤0 on [−1,2]
The areas between the graph of p and the x-axis are 7 square units on [−4,−1], 12 square units on [−1,2], and 5 square units on [2,6]. Find ∫−46p(x)dx.
a) 14
b) −10
c) 0
d) −2