calculas

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:

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  1. 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.

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  2. 3.73

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  3. g(x) = 7 sin x, [0, π], 6 rectangles

    left endpoints approximation Area: 13.6787
    right endpoints approximation Area: 13.6787

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  4. 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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