solve only problem number - 24,30,34show all steps for these three problems

3. Decompose 1 without solving for the coefficients, as 12x7 + 21x + 3 x - 3x 21 (x 1 1)(3x2 | 5x - 1) dx done in Example 1. 4. Decompose -X without solving for the coefficients, as 6x + 8x - 4 22 dx (x - 3) (x + 6x + 10) done in Example 1. 1- x+2x-x 5. Decompose - 3 x 2 - 7 without solving for the coefficients, as 23 dx x(x2 .| 1)2 done in Example 1. 2x + 5 24 2x' + x +1 dx 6, Decompose ( x + 1)(x2 +9) x' | 7x without solving for the coefficients, as done in Example 1. 25. x2 - 20x - 69 ( x - 7) (x2 | 2x 1 17) dx Problems 26. x+x + 2x +1 dx (x 1 1)( x +2) In Exercises 7-32, evaluate the indefinite integral. X 7x7 27. dx 2 + 3x - 10 Ox | 4x2 + 3 28 x - 3 8 ( x2 + 2 x + 4)2 Ox 9. 29 9x2 - 60x + 33 d.x OX (x 9) (x2 - 2x 1 11 10 30. 6x + 45x | 121 x -52 dx (x | 2) (x3 + 10x + 27) 3.x 1 11 31. dx (x 8) - 16 12 9x + 11x + 7 dx 32. - dx x(x + 1) 2 12x7 - x | 33 In Exercises 33-36, evaluate the definite integral. 13 (x - 1) (x + 3) (3 - 2x] dx 8x + 21 94X - 10x 33. (x + 2) (x 1 3) dx 14 1 (7x + 3)(5x - 1) (3x - 1) dx 14x + 6 +x+1 34 dx 15 (3x - 2)(x - 4) 1X - 2 dx 35 x' + 5x - 5 16. x - 10) (x | 4x + 5) dx -x - 20 dx 17. - 4x + 6 36 dx x + 1 1 ( x2 + 2x 1 1 ) dx