Question

Approximate the area under the curve of f(x)=9-x^2 between x=-2 and x=3 by calculating the area of 5 rectangles for both left hand endpoints and right hand endpoints.

I have the left hand and right hand endpoints, what I need help in is solving for the actual area.

Thanks

Answer 1

Remember that the area is the sum of little rectangles, with width 1 and height f(x) at the endpoints.

There are lots of good online Riemann sum calculators, such as this one:

http://www.emathhelp.net/calculators/calculus-2/riemann-sum-calculator/

Just plug in your data and see the calculations to verify your results.