I would be most grateful if someone could check my work.
Find the area enclosed by the graph of this function and the x axis between x=0 and x=6.
As the graph crosses the x-axis at x=0 and x=3 all values of x are positive between x=0 and x=3 all values of x>3 are negative.
It is necessary to to find the positive area bounded by x=0 and x=3 and subtract it from the negative area bounded by x=3 and x=6.
After hopefully performing the integration correctly I get an answer of 4.1319