Question

Sketch the graph of y = |x + 4|. Using integration, find the area of the region bounded by the curve y = |x + 4| and x = – 6 and x = 0.

Answer 1

| y | x |
| 4 | 0 |
| 8 | 4 |
| 6 | 2 |
| 2 | -2 |
| 9 | 5 |
| 1 | -5 |
| 0 | -4 |

Required area is