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Use integration by parts to find the integral. 3 x In x dx A. 3 2 Inx - 7 3 2 + C OB. 3 2 Inx- 4 + C O c. 3 3 7XInx -x+ C OD. 2 In x - 4 + C Next2 Use integration by parts to find the integral. e 2x x2 dx O A. 1 2 2x _ _, 2 X - 2xe2x + - e 2X + C O B. 1 2 2x _ _ Axe 2X + - e 2X + C OC. 12 2x _xe2X + je2 O D. 1 2 2x - 1xe 2x + 2 X Next3 Find the volume of the solid of revolution formed by rotating about the xaxis the region bounded by the curves. Round the answer to two decimal places if necessary. f(x)=x2,y=0,x=1,x=24 O A. 1,592,524.801: O B. 1,592,524,601: O C. 4,607.671: D. 7,962,623.001: Use integration by parts to find the integral. |In 5 x dx . . . . . O A. x In 5x + x + C O B. x In 5x - 5x + C O C. 5x Inx-x +C O D. x In 5x - x + C Next5 Use integration by parts to find the integral. ( 2 x + 3 ) e - 4X dx . . . . . O A. 1 X e - 4x _ - 4x + C 8 e OB. 1 - 4X + 7 axe e -4X + C 8 O C. 1 .xe -4X _ e - 4x + C O D. - 8x e -4x - 44 e -4X + C Next6 The price per share of a stock can be approximated by the function S(t) = t(29 - 4!) + 20, where t is time (in years) since the stock was purchased. Find the average price of the stock over the first 6 years. Round the answer to two decimal places if necessary. A. $59.00 O B. $76.40 C C. $32.50 0 D. $354.00 7 Use integration by parts to find the integral. 7 x e * dx . . . . . O A. 7xex - 7ex + C OB. 7ex - 7xe* +C O C. xex-7ex +C OD. 7ex - ex +C Next8 Use integration by parts to find the integral. xe - X dx Give your answer in exact form. . . . . . OA. -2e-3+1 OB. - 4e -3+1 OC. -4e-3 OD. - 4e-3-1 Next9 Find the average value of the function on the given interval. f(x) = 3x- - 4; [0, 15] . . . . . O A. 222 O B. 221 3 O C. 225 O D. 221 Submit Quiz