Please check if my answers and solutions are correct.

1. 9 dx = 9x + C 2. f 5 dx = 5x + C 3. S(x3 + 8) dx = fx3 dx + f8 dx = + 8x + C 3+1 =-+ 8x + C 4. S(x3 - 6) dx = fx3 dx - S6 dx 73+1 = 3+1 6x + C x 4 = - 6x + C 4 5. [ 5x2 dx = 5 / x2 dx x2+1 = 5 2+1 + C -3 = 5 3 + C 5x3 = 3 +C6. 4x 3dx = 4 x-3 dx x-3+1 = 4(-3+1+C = 41 + C = 4 -272 + c = 2x2 + C 2 = 2 + c 7. 8x 6dx = 8 x-'dx x-6+1 = 8 6+1 + C = 8 5+C = 8 -375 8 = 5x5 + C 8. (2x6 - 5x4 + 4x2 - 6) dx = 2x6 dx - 5x* dx + 4x2 dx - 6 dx =2 x6 dx - 5 x* dx + 4 x2 dx - 6dx = 26+1 -5471+4 2 -68+C =2(7) -5(5)+4 -6* +C 2x7 4x3 - x5 + - 3 - - 6x + C 8. (3x2 - 6x + 8) dx = 3x2 dx - 6x dx + 8 dx =3 x2 dx - 6 xax+ 8dx = 3( 2+ 1) - 6 ( 141) + 8* + C = 35 -6(7+8x + C = x3 - 3x2 + 8x + C10 . / 25 dx = 2x-5 dx = 2 x-5 dx x5+1 = 2 -5+1 + C X = 2 + C = 2 4x4 + C 2 414 + C 1 = - 2x41. (3 + 3x7 ) dx = (x3 dx + 3x2 dx = x3 dx + 3 x2 dx x3+1 -2+1 7+ 3 3+1 (2 + 1) + c =4+3 3 +C 4 -+ x3 + C 2. [ ( x* + 2x2 + 1) dx = fixtax+ 2x'dx + 1 dx =fx dx+2 x2 dx + 1 dx =(#71 +2 + x+C =15 +2 5 + * + C 3x5 2x3 =- 20 + 3 + x +C 3. ( x - 3 + 3 ) dx = x-3 dx + 3 dx x-3+1 = -3+1 + 3x + C x-2 7+ 3x + C = 2x2 + 3x + C 4. Vxz dx = x's dx +1 - + C WIN X + 1 - + C 3x3 = 5 -+ C 5. Vy dy = yi dy -+ C i+ 1 = + C 4y4 = +C