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- 1. Find the area of the region under the curve y = 6 - 4x2 and above the x-axis. 2. find the exact area of the region that lies beneath the curve y = 6x-4 , 1 </= x </= 6. 3. Find the area enclosed between f(x) = 0.4x2 + 9 and g(x) = x, from x = -2 to x = 3Find the area of the region between the graphs of y=17-x2 and y=-6x+10 over the interval -3<x<6. (This interval results in a compound region) The area is_______Find the area of the region between the graphs of y=17-x2 and y=-6x+10 over the interval -3 < x < 6. (The interval results in a compound region)
- Find the area of the region described in the following. The region bounded by y = 3x - x3 and y = -xf(x) = -x^2 + x + 20 and g(x) = x^2 - 5x . Compute the area of the region enclosed by the graphs of f(x) and g(x).Sketch the region bounded by the graphs of the given equations and find the area of that region. y=x^2-x-1, y = -e^x-1, x=0, x=1
- 2. Find the area of the region bounded by the curve y = x^3 − 2x^2 − 5 x + 6, the x-axis, and the lines x=-1 and x=2.Find the area of the region bounded by the graphs of y2 = 5 – x and y2 = 4x.Find the area of the region bounded by the equations below. For each problem, clearlysketch the graph of the region, set up the appropriate integral(s), and evaluate the integral. y = x^2 + 1 and y = x^3 − 3x^2 + 1