Round the answer to four decimal places if necessary. 2). 3. 1. (1 - x2) e2x dx ... the region bounded by the curves. 5) f(x) = x, y = 0, x = 1, x = 9...
Name______________________________________ Date ______________ Period ___________ Discrete Math Chapter 16 Quiz REVIEW (Sections 16.1 and 16.2) 1 Use integration by parts to find the integral. Round the 9x + 2 4) dx answer to two decimal places if necessary. ex 0 1) 5x ln x dx
∫
∫
Find the volume of the solid of revolution formed by rotating about the x-axis the region bounded by the curves. 5) f(x) = x, y = 0, x = 1, x = 9
Find the integral by using integration by parts or other techniques. Round the answer to four decimal places if necessary. 3 (1 - x2) e2x dx 2) 1
∫
6) f(x) = x2, y = 0, x = 1, x = 18 Use integration by parts to find the integral. Round the answer to two decimal places if necessary. 3 3) ln 4x dx 1
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1
7) f(x) = x + 3, y = 0, x = 0, x = 2
Find the average value of the function on the given interval. 8) f(x) = 4 - x2; [1, 16]