Asked by Sam

Use left and right endpoints and the given number of rectangles to find two approximations of the area of the region between the graph of the function and the x-axis over the given interval. (Round your answers to four decimal places.)
g(x) = 7 sin x, [0, π], 6 rectangles
left endpoints approximation Area:
right endpoints approximation Area:

Answers

Answered by Steve
clearly the rectangles are bounded at

x = 0, π/6, π/3, π/2, 2π/3, 5π/6, π

So, evaluate g(x) at the boundaries and add up the areas. What do you get?

There are plenty of online calculators for this to check your work.
Answered by Anonymous
3.73
Answered by Anonymous Hero
g(x) = 7 sin x, [0, π], 6 rectangles

left endpoints approximation Area: 13.6787
right endpoints approximation Area: 13.6787
Answered by n
Use left and right endpoints and the given number of rectangles to find two approximations of the area of the region between the graph of the function and the x-axis over the given interval. (Round your answers to four decimal places.)
g(x) = 4 sin x, [0, π], 6 rectangles

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