Question 21 Use derivatives to find the indicated absolute extremum as well as all values of x where it occurs on the specified domain. Verify your answer. f ( x ) = (x + 1)2(x - 2); [-2, 1] Maximum O No absolute maximum O O atx = -1 O -2 at x = 0 O -4 at x = -2 Question 22 Use derivatives and derivative analysis to find the open interval(s) where the function is changing as requested. Increasing; y = x4 - 18x2 + 81 O (-3, 3) O (-00, 0) O (-3, 0) O (-3, 0), (3, 00)Question 23 Evaluate the definite integral. S ( x 2 + 1) dx -1 O w / co O WIN O w / 0 Question 24 Find the integral. ( 3nyx -5 dx x2 O 6 2 +c VX 0 6 .2 + C NX 0 6 NX - + C VX ty + cQuestion 25 Find the integral. 1 5x(In x) dx O In |5 In x| + C 5 In |In x| + C O In |x| + In |In x] + c 5 O In |In x] + c Question 26 Evaluate the definite integral. at O In 3 O 24 25 O O In 3Question 27 Find the integral. Vox - 7 dx 0 4 (6X - 7) 3/2 + C 0 4 (6X - 7) 3/2 + C 0 2 (6X - 7) 3/2 + C 0 = (6x - 7) 3/2 + C Question 28 Find the integral. [ 3(21 + 5)3 at 0 - (2+ + 5 ) 4 + C 0 - ( 2+ + 5 ) 4 + C 0 = ( 2+ + 5 ) 4 + C 0 2 (2+ + 5 ) 4 + C\fQuestion 31 Approximate the area under the graph of x) and above the x-axis using n rectangles. f(x) = i2; interval [1,5]; n = 4; use left endpoints K 0 0.4636 0 1.4636 0 2.0833 0 1.4236