SOLUTION: Which of the following values would be obtained using 10 inscribed rectangles of equal width (a lower sum) to estimate the integral from 0 to 1 of x squared, dx? 0.285 0.38

Question 1031345: Which of the following values would be obtained using 10 inscribed rectangles of equal width (a lower sum) to estimate the integral from 0 to 1 of x squared, dx?
0.285
0.385
1.380
2.310
Answer by robertb(5830) (Show Source): You can put this solution on YOUR website!
0.285
--------------------------------------
You can actually figure out the answer by being guided by the exact value of the integral:

The last two options are automatically eliminated. The second option is close to the exact value, but presumably would use circumscribing rectangles to get an upper sum (which should be bigger than 1/3 = 0.33333... ) Only the first answer would satisfy the question.
RELATED QUESTIONS
consider the function f(x) = (x - 3)^2 + 2. Evaluate a sum to approximate the area under... (answered by richard1234)

suppose you estimate the area under a curve using inscribed rectangles and then estimate... (answered by robertb)

whats the length and width of two rectangles that would be similar to rectangle that is... (answered by Alan3354)

How does the width of the rectangles used to approximate area under a curve affects the... (answered by stanbon)

Construct a grouped frequency distribution table (GFDT) for this data set. You want 10... (answered by CPhill)

Estimate the area under the graph of f(x) = 1 + x^2 from x = −1 to x = 2 using three... (answered by Edwin McCravy)

Which would give the most accurate estimate of the area under a curve? a. when the... (answered by MathLover1,ikleyn)

The top and base of a fish tank are rectangles whose length is 10 inches more than the... (answered by mananth)

If you have 2 similar rectangles, one with a length of 4 and a width of 2, and another... (answered by Alan3354)