Worksheet 117
Review – Mixed
1. Approximate the area to the nearest whole number under f x   e2 x x 1 on 0, 5  using: {Calculator}
a) 4 rectangles whose height is given using the left endpoint
b) 4 rectangles whose height is given using the right endpoint
c) 4 rectangles whose height is given using the midpoint
d) 4 trapezoids
e) Evaluate the integral directly.
2. Given: Region R bounded by f x   2x 1 x  and g x   3x 1 x for 0  x  1 . {Calculator}
a) Calculate the area of Region R.
b) Calculate the volume of the solid generated if R is rotated around the line y  2 .
c) Let R be the base of solid with square cross sections perpendicular to the x-axis. Calculate the volume of the
solid.
NO CALCULATOR FROM HERE ON!!!!