Hey i need solutions to the following questions, thank you :)

1. Determine the values of a for which the following series converges: n . 3n+1 1=0 (2x - 4)n (3 marks) 2. Determine the following integrals: (a) (2e' sinx - Ax) dr (3 marks) (b ) -Inx dr (3 marks) (c ) 12x2 - 5x + 6 1:13 - 2x2 + 3x - dix (3 marks) (d ) Give your answer in exact form. (3 marks) 3. Determine the volume of the solid formed by revolving about the y-axis the region bounded by the curve y = a' and the y-axis between y = 1 and y = 5. Give your answer to one decimal place