Let f be a continuous, positive, decreasing function on [3, ∞). Compare the values of the integral of: A: the integral (from 3 to 10) of f(z)dz, B: summation (sigma notation) of f(n) from 3 to 9, and C: summation (sigma notation) of f(n) from 4 to 10. Answer choices: 1. B>C>A 2. C < A < B 3. A < B < C 4. B < A < C 5. A > B > C 6. B < C < A
I initially picked 5 and was wrong.
How would I do this? I tried drawing rectangles and am still not quite sure what the order of the bigger value is.
Help and feedback appreciated.