Problem 10. Let f(x) = sin(x) and g(x)=sin(x). Consider the following region enveloped by the two curves from 0 to 2 X 5 2 The area of the region is 8.

However, ²* sin(x) − (− sin(z)) dx = 0, 0 6 which is not the correct area. Why is this? How can we correctly use integration to compute the area?