1. (06.12 MC) Find and correct the error in the following student's work in solving for _ x2 46x +18 dx. (1 point) Step 1: ) -2 + 6x+18 4 4 ax = 12 +6x+9-9+18 -dx Step 2: = ]- 4 -dx (x+3)-+9 Step 3: = #tan-1(*+3, Step 3, the 9 should be a 3 Step 2, the quantity (x + 3) should be (x - 3) O Step 1, must subtract an 18 There is no mistake in the student's work 2. (06.12 MC) 16 Complete the square to find an equivalent expression for 712 _ x2 + 4x dx. (1 point) 16 sin-1(*+ 2) +c 4 sin-1( X-2) +c 4 sin-1( *+2) +c 16 sin-1(*-2) +c3. (06.12 MC) Which shows the correct integration of (3 3x* dx ? (1 point) O [23 , 3-22 2 -+3In 2-1/1-133 + 3.32 2 + 3In/3- 1] O 133 3-32 2 -+3-3+3In/3-1/1-[23 + 3-22 2 +3-2+3In/2-1 1 O 133 3-32 2 +3In/3-1/1-[23 + 3.22 "*+3In/2-1/1 O 123 3.22 2 -+3-2+3In/2-1/1-133 + 3.32 2 -+3.3+3In/3- 1 1 4. (06.12 MC) Select the integral that results from using long division to simplify ( 3x" - 2x+ 4 x (1 point) x+2 ( 3x -8+ 20 dx x +2 ( 3x + 8-20 dy x+2 (3X- + 8x - 20Inx + 2dx O 2 - 8x + 20In x + 2 x5. (06.12 MC) Use long division to find to find an equivalent expression for 2x3 +1 dx. (1 point) X- 3 O 55 4x+6- +C (x-3) O 2x3 + 6x2+ 18x + 55In/x - 3| + C O 2x3 3x2 + 18x +55In x -3+C 3 O Cannot be integrated