Let *f* (*x*) = *x*. Find a constant m such that

*Answer*

*Here's the graph of **f* (*x*) = *x* on [-2,4]:

*From this graph we can see that*

*We want *

*m*(4-(-2)) = 6.

*Since (4-(-2)) = 6, We must have **m* = 1. The weighted area between *f* (*x*) = *x* and the *x*-axis on [-2,4] is the same as the weighted area between *m* = 1 and the *x*-axis on [-2,4].

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