1.pdf Practice Test 1 (Math 72-Stewart) 1. Evaluate each integral. (a) dx (b) ( V 4 - x dx (C) AT (d) [cos xsin xdx (e) dx (1) [ xe" dx (8) - Exdx (h) sin x V2x - 1 dx cos x J xsec2xdx 3x - 2 dx 0 -2x-8 (k) xtan xdx (1) cos xtan xdx 2. Use the Table of Integrals to evaluate each integral. (a) [y 4 + (Inx)box x (b) jeff arctane'dx 3. Find the volume of the solid obtained by rotating the region bounded by y = x and y = x? about (a) the x-axis; (b) the line y = 2; -(c) the line x = 1; (d) they - axis. 4. Find the area of the region below the curve y = vx and y = fx. 5. A 5 1b bucket is lifted from the ground into the air by pulling in 20 ft of a rope at a constant speed. The rope weighs .08 1b/ft. How much work was spent lifting the bucket and the rope? 6. A spring has a natural length of 20 cm. If a 25 N force is required to keep it stretched to a length of 30 cm, how much work is required to stretch it from 20 cm to 25 cm