GROUP WORK 1

The graph of the function f(x) shown above consists of two straight lines and a quarter-circle. Use the graph to calculate the following values.

  1. $\int_2^4 f(x) dx$
  2. $\int_0^4 f(x) dx$
  3. $\int_{-2}^4 f(x) dx$
  4. $\int_4^6 f(x) dx$

    GROUP WORK 1 cont’d (refer to the same graph)
  5. $\int_{-1}^6 f(x) dx$

    NOTE: When we reverse the two endpoints, or limits of integration, the affect is to multiply the integral by -1.
  6. $\int_4^2 f(x) dx$
  7. $\int_1^{-2} f(x) dx$
  8. $\int_5^6 f(x) dx$