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1. Approximate the area under the graph of​ f(x) and above the​ x-axis with​ rectangles, using...

1. Approximate the area under the graph of​ f(x) and above the​ x-axis with​ rectangles, using the following methods with

n = 4.

​f(x) = −x2 + 5 from x = −2 to x = 2

​(a) Use left endpoints.  

​(b) Use right endpoints.  

​(c) Average the answers in parts​ (a) and​ (b)

​(d) Use midpoints.

2. Approximate the area under the graph of​ f(x) and above the​ x-axis with​ rectangles, using the following methods with

n = 4.

f(x) = 1/x + 3​, from x = 1 to x =9

​(a) Use left endpoints.  

​(b) Use right endpoints.  

​(c) Average the answers in parts​ (a) and​ (b)

​(d) Use midpoints.

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