Page 90 - Calculus for the Clueless, Calc II
P. 90

square unit.

         C. Find the volume if the region y = x e  is rotated about the x-axis, where x > 0:
                                               -x
                                               Improper part is again infinity.





                                                                          2
                                              Again, integration by parts: u = x , dv
                                              = e -2x .






                                                u = x, dv = e -2x .























         The volume is π/4 cubic units.
   85   86   87   88   89   90   91   92   93   94   95