Find the exact area under the graph f(x)=x^2+5 from x=0 to x=2 by taking the limit of the Rieman Sum using right endpoints.

Question

abb0t · Answer

So your bounds are [b,a] and you were given [0, 2]
find your ∆x. Which is
$$\frac{ b-a }{ n }$$

anonymous · Answer

Ok so the delta x is 1.

abb0t · Answer

Plug it into your equation.

anonymous · Answer

Wait should i use 2 as my n value since it doesnt specify how many rectangles

abb0t · Answer

use n, because you aren't given a specified vaue.

abb0t · Answer

No, use it to find your $$x_i $$
remember
$$x_i = a + (∆x)i $$

anonymous · Answer

Ok so that becomed 0+i(2/n) = 2i/n right?

abb0t · Answer

Yep. There are three or 4 formulas u can use. I suggest you memorize them if you're not given them on an exam. i will draw them out for you

anonymous · Answer

And then do u do u f(xi) = x^2+5 
                            = (2i/n)^2 + 5 = (4i^2/n^2) + 5

abb0t · Answer

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