\( \left. \begin{array} { l l } { 1 } & { \int ( 2 x - 9 ) d x } \\ { 2 } & { \int ( 3 x - \sqrt { 5 } ) d x } \\ { 3 } & { \int ( x ^ { 2 } + 6 x - 9 ) d x } \\ { 4 } & { \int ( 6 x ^ { 4 } - 3 x ^ { 3 } + 2 x - 1 ) d x } \\ { 5 } & { \int ( \frac { 6 } { 5 x ^ { 7 } } + \frac { 3 } { 2 x ^ { 4 } } - \frac { 5 } { 4 x ^ { 3 } } ) d x } \\ { 6 } & { \int ( \sqrt { x } + \sqrt[ 7 ] { x } ) d x } \\ { 7 } & { \int ( \frac { x ^ { 3 } - 8 } { x - 2 } ) d x } \\ { 8 } & { \int ( \frac { x ^ { 2 } + 3 x + 2 } { x + 1 } ) d x } \\ { 9 } & { \int ( 3 x - 1 ) ^ { 4 } d x } \\ { 10 } & { \int ( x ^ { 2 } - 1 ) ^ { 2 } d x } \\ { 11 } & { \int ( \sqrt { e ^ { 3 x } } ) d x } \\ { 12 } & { \int ( b ^ { 4 x } ) d x } \\ { 13 } & { \int ( 8 e ^ { \frac { x } { 2 } } ) d x } \\ { 14 } & { \int ( e ^ { 4 x } ) d x } \end{array} \right. \)

Aquí tienes las integrales resueltas: 1. \( \int (2x - 9) \, dx = x^2 - 9x + C \) 2. \( \int (3x - \sqrt{5}) \, dx = \frac{3}{2}x^2 - \sqrt{5}x + C \) 3. \( \int (x^2 + 6x - 9) \, dx = \frac{1}{3}x^3 + 3x^2 - 9x + C \) 4. \( \int (6x^4 - 3x^3 + 2x - 1) \, dx = \frac{6}{5}x^5 - \frac{3}{4}x^4 + x^2 - x + C \) 5. \( \int \left( \frac{6}{5x^7} + \frac{3}{2x^4} - \frac{5}{4x^3} \right) \, dx = -\frac{1}{5x^6} - \frac{1}{8x^3} + \frac{5}{12x^2} + C \) 6. \( \int (\sqrt{x} + \sqrt[7]{x}) \, dx = \frac{2}{3}x^{3/2} + \frac{7}{8}x^{8/7} + C \) 7. \( \int \left( \frac{x^3 - 8}{x - 2} \right) \, dx = \frac{1}{3}x^3 + x^2 + 4x + C \) 8. \( \int \left( \frac{x^2 + 3x + 2}{x + 1} \right) \, dx = \frac{1}{2}x^2 + 2x + C \) 9. \( \int (3x - 1)^4 \, dx = \frac{1}{5}(3x - 1)^5 + C \) 10. \( \int (x^2 - 1)^2 \, dx = \frac{1}{5}x^5 - \frac{2}{3}x^3 + x + C \) 11. \( \int \sqrt{e^{3x}} \, dx = \frac{2}{3}e^{\frac{3}{2}x} + C \) 12. \( \int b^{4x} \, dx = \frac{1}{4 \ln(b)} b^{4x} + C \) 13. \( \int 8e^{\frac{x}{2}} \, dx = 16e^{\frac{x}{2}} + C \) 14. \( \int e^{4x} \, dx = \frac{1}{4}e^{4x} + C \)