A function f is continuous on the closed interval [5,12] and differentiable on the open interval (5,12) and f has the given values: f(5 = 10, f(6) = 7, f(9) = 11. f(12) = 8. Using these values, what is the rigjht Riemann Sum of integral 5 to 12 f(x)dx?

Question

jennychan12 · Answer

$$\int\limits_{5}^{12} f(x)dx$$

jennychan12 · Answer

oh whoops and f(11) = 12

jennychan12 · Answer

@AtiFS @Kainui @satellite73 ?

jennychan12 · Answer

whoops didn't mean to close the question. i thought i had it but my answer's wrong;

kainui · Answer

Is that supposed to be f(7)=6?

jennychan12 · Answer

lemme try again. f(5) = 10, f(6) = 7, f(9) = 11, f(11) = 12, and f(12) = 8

jennychan12 · Answer

the graph i drew.

kainui · Answer

So the right riemann sum is basically just adding up all the rectangles of a function using the right hand side of an interval to approximate it like this kinda:

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