1. I need help with only the red parts.

The form of the partial fraction decomposition of a rational function is given below. x - 5x2 - 48 A Bx + C + (2 - 3) (202 + 9) x - 3 ac 2 + 9 A =-5 B = C = -48 Now evaluate the indefinite integral. x - 5x2 - 48 arctan W X dx = -5 In (1x - 31) + +C (2 - 3) (202 + 9) 3The form of the partial fraction decomposition of a rational function is given below. 82 2 - 9x + 20 A Ba + C (ac - 3) (202 + 4) 3 2c2 + 4 A = B = -9 C = 20 Now evaluate the indefinite integral. 8x2 - 9x + 20 (2 - 3) (202 + 4) dx = 5 1n(|x -31) + > . In(x-+4) +CEvaluate the following integral. sin(9m) _ Use a capital C for any needed constant in your answer