WorksheetsApplications of Integration 6.1-6.2
Total questions: 12
Worksheet time: 38mins
Write the integral that would be used to find the area bounded by y = x2 + 1, y = x - 2, x = -2 and x = 2.
Write the integral that would be used to find the area of the region bounded by x = 1, y = √x and y = -x + 6.
Write the integral that would be used to find the area bounded by the graphs of x - y = 2, y = 8 and x = y2/3.
Find the area of the region bounded by the graphs of y = x2 and y = 4x.
32/3
64/3
32
64
32/5
Find the area of the region bounded by the equations y = x2 + 1 and y = 5.
32/3
64
32
64/3
16
Write the integral that would be used to find the volume of the region bounded by x = -1, x = 2, y = 0 and y = 1/2x² + 2.
Write the integral that would be used to find the volume of the solid generated when the region bounded by the x-axis, the y-axis and 2x + y = 6 is revolved about the x-axis.
A cone of base radius r and height [AB]
A cone of base radius r and height h
A cone of base radius h and height r
None of the above
