Evaluate. (Be sure to check by differentiating!) j' 22Y 5 7+e% _ e 22Y dv = '|.7'+.32y Y |:| (Type an exact answer. Use parentheses to clearly denote the argument of each function.) Find the volume generated by rotating the area bounded by the graph of the following set of equations around the y-axis. y=3x2+1,x=2,x=4 _ e The volume of the solid is I:I cubic units. (Type an exact answer, using & as needed.) Evaluate. Check by differentiating. 24xe- 8X dx . . . 24xe- 8x dx =Determine if the improper integral is convergent or divergent, and find its value if it is convergent. o0 I Bxe' dx 0 _ Select the correct choice below and, if necessary, fill in the answer box to complete your choice. () A. o The integral is convergent and J-Gxehdx = (Type an integer 0 or a fraction. Simplify your answer.) (_) B. The integral diverges