Approximate the area in the first quadrant between the x-axis, the y-axis, the line x = 3, and the function f(x) = x^2+1

For this approximation, you must use 6 rectangles of equal width, and this must be a lower sum. In your answer, you must include letters a-d below:
a. The width of your rectangles
b. The six areas, one for each rectangle, written as a sum (for example, you might write 2 + 3 + 4.5 + 6 + 6.5 + 8)
c. The total area you approximated
d. Answer this: is your approximation greater than, exactly equal to, or less than the true area?

Question

Approximate the area in the first quadrant between the x-axis, the y-axis, the line x = 3, and the function  f(x) = x^2+1
 
For this approximation, you must use 6 rectangles of equal width, and this must be a lower sum. In your answer, you must include letters a-d below:
a. The width of your rectangles
b. The six areas, one for each rectangle, written as a sum (for example, you might write 2 + 3 + 4.5 + 6 + 6.5 + 8)
c. The total area you approximated
d. Answer this: is your approximation greater than, exactly equal to, or less than the true area?

anonymous · Answer

Why not just use the definite integration?

anonymous · Answer

umm, i have no idea how to work this problem at all... :/

anonymous · Answer

Google: "Riemann sum"

anonymous · Answer

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