If we evaluate the integral, we get
F( ) = sin t dt = (−cos t) = −cos + cos 0 = 1 − ≈ 0.293
Let’s make a table of values of the accumulation function for different values of x.
We can see that the area is accumulating under the curve as x increases from 0 to π. Naturally, the values
will shrink as we move from π to 2π because the values of sin x are negative. But, with accumulation
functions, we are usually concerned only with positive areas.