Please work out each of the
given problems. Credit will be
based on the steps that you show towards the final answer. Show your work.
PROBLEM 1 Integrate the following functions
PROBLEM 2 Find the area of the region bounded by the curve
y = x3 - 3x2 - 4x
and the line
y = 6x
Approximate the following integral using the midpoint
rule with n = 4
The revenue R in
thousands of dollars at time t years after 1990
of a travel agency can be modeled by the equation
R(t) = t2 + t e-t
. Find the total revenue of the
company from 1990 to 2000.
PROBLEM 5 Set up the integral to find the volume of the solid that results when the region bounded by the curves
y = 3 - x and y = 3 + x - x2
is revolved about the x-axis. You do not need to evaluate the integral.