I don't know how to do the partial fraction decomposition for part a. How did they get A=1, B=2 and C=-1?

16B QUIZ 5 FEBRUARY 16, 2022 Please show all your work! Answers without supporting work will not be given credit. Write answers in spaces provided. Name: Raya Zlomke 919848544 (1) Find the following integrals (a) 3x2 + 3x + 1dx [5pts] 23 + 272 + 2 (b) 203 + 32 2 + 2 2 + ] 20 2 + 20 dx [8pts] (c) 3x 7 3 2 2 - x - [4pts] a 3 x 2 + 3x +1 * 3 + 2* 2 + X olx 3x 2 + 3x+1 dx * ( x2 + 2 * + 1 ) = +B + C (3 x2 + 3x+1= dx =. "( x +1 ) ( * + 1 ) 2 * ( XH ) Z d axto ( axtb) ( axtbin * 3 + 212+*= A (X+1 ) 2 + BX (x+ 1 )+ ( x f ( - 1 ) = (- 1) 3 + 2 ( - 1 ) " + - 1 - 1 +2 - 1 =0 f (1 ) = (1) 3 + 2 (1) 2 + 1 102+ 1 = 4 f ( 0 ) = 0 + 0 + 1 = A = 1 B = 2