For problems 1 & 2 use the definition of the definite
integral to evaluate the integral. Use
the right end point of each interval for .
For problems 4 & 5 determine the value of the given
integral given that and .
For problems 8 & 9 sketch the graph of the integrand and
use the area interpretation of the definite integral to determine the value of
For problems 10 12 differentiate each of the following
integrals with respect to x.