Evaluate the integral using geometric area formula(s). 1.2.80 (modified) 0 14 - x2 dx = -2In the following exercises, use the Fundamental Theorem of Calculus, part 1, to find each derivative. 1.3.156 1.3.159 (modified) d In(u2) du dx sin(x)1.3.161 The graph of y = / f(1)dt, where f is a piecewise constant function, is shown here. 2 1 0 1 2 3 4 5 6 X 1 -2 (a) Over which intervals is f negative? Over which intervals is f zero? (b) Determine the minimum value of f. (c) Determine the average value of f over the interval [0, 6]