Integrals 1 (Power, Basic Exponents & Logs, Derivatives of Integrals (FTOC - Part 1)) Worksheet #11A This worksheet is graded on completion. You must complete the entire worksheet to earn any credit. You answers do not have to be correct. Of course, it is better if they are, but the purpose of the this worksheet is the help you master the material. If you aren't sure about the mathematical steps, you can describe the process or support your solution by writing an explanation. Evaluate. 1) [ (6x2 + 1) dx 1) A) x + C B) 12x + C C) 2x3 + C D) 2x3 + x + C 2) [ (1212 + 7t - 5) dt 2) A) 24t + 7 + C B) 6+3 + 7+2 - 5t + C C) 12+3 + 7+2 - 5t + C D) 413 + 712 - 5t + C 3 ) [ (2x 5 - 7x3 + 4) dx 3 ) A) 6x6 - 7x4+4x + C B ) ~ x6 - 2x4+4x +C C)2x6-2x4+4x +C D) 6x6 - 2x4+4x + C 4 ) [12x3 Vx dx 4) A) 2x9/2 + C B ) -X C) 24x9/2 + C D) x 9/2 + C 5) [(x4/3 - 3x5/2) dx 5) A) ~ x713 - 2 x7/2 + C B) 3 x7/3 - 3 x 7/2 + C 9 3 x 713_6 x 712 + C D) 3 x7/3 - 4 x 7/2 + C6) [ (x5 + efx) dx 6) A) x6 6 + e4x + C B) + 4e4x + C x6 e5x - + C x6 6 5 D) - -+ C Find the integral. 7 ) 2x2 - x + 3 dx X 7) A) 3 In |x/ + x2 - x + C B) 4x3 - 3x2 + 18x + C 6 C) 3 log x+ x2 - x + C D) 3x2 - x + C Evaluate the definite integral. 8 ) [ ( 2 x2 + x + 8) dx 8) 1197 A) L B) 1173 537 2 C) -2 D) 98 9 ) (x3/2 + x1/2 - x-1/2) dx 9) A) 46 226 B) - 224 15 C) 15 D) 3