(adsbygoogle = window.adsbygoogle || []).push({}); 1. The problem statement, all variables and given/known data

Consider the integral,

[itex]\int _3 ^7 (\frac{3}{x} + 2) dx[/itex]

a) Find the Riemann Sum for this integral using right endpoints and n=4.

b) Find the Riemann Sum for this integral using left endpoints and n=4.

2. Relevant equations

The sum,

[itex]\sum^{n = 4} (\frac{3}{x} + 2)[/itex]

The graph,

f(x) (white)

x = 3 (blue)

x = 7 (blue)

y = 3 (yellow)

y = f(7) (red)

3. The attempt at a solution

The right endpoint would be (7, f(7))

The product of the sum would be the area of the box, so

[itex]f(7) * 4[/itex]

(this answer is in an acceptable format for my teacher)

The left endpoint would be (3,F(3))

The product of the sum would be the area of the box, so

[itex]f(3) * 4 = 12[/itex]

But I'm wrong, evidently.

Thanks in advance, guys!

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# Homework Help: Riemann Sum from Indefinite Integral

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