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

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)=e^x+1 fromx=-2 to x=2

​(a) Use left endpoints.  

​(b) Use the right endpoints.  

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

​(d) Use midpoints.

The​ area, approximated using the left​ endpoints, is

The​ area, approximated using the right​ endpoints, is

The average of the answers in parts​ (a) and​ (b) is

The​ area, approximated using the​ midpoints, is

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