Given f(x) dx = 1, 4 .° g(x) dx = 2, h(x) dx = -7, and r(x) = 4 [f(x), 2≤x≤4 \g(x), 4 < x ≤ 6, evaluate the following definite integrals. (a) f(x) dx = -1 (b) √ 6 6 h (x) = 6 6h(x) = g(x) dx = -8 × (c) ²(x) dx = -3 Recall that p(x) dx, the definite integral of a continuous function p(x) over an interval [a, b], can informally be described as the net area bounded by the curve p(x), the x-axis, and the lines x = a and x = b, such that the area above the x-axis is positive, and the area below the x-axis is negative. For the definite integral Le when the limits of integration, a and b, are switched? If k is a constant, how can definite integrals can be applied? p(x) dx, what happens to the value of the integral k p(x) dx be simplified? What other laws of