Consider the function whose domain is the interval [-1, 1].

(a) Graph f.

(b) Approximate the area under the graph of f from -1 to 1 by dividing [-1, 1] into five subintervals, each of equal length. 

(c) Approximate the area under the graph of from -1 to 1 by dividing [-1, 1] into ten subintervals, each of equal length. 

(d) Express the area as an integral. 

(e) Evaluate the integral using a graphing utility. 

(f) What is the actual area?

Transcribed Image Text:

f(x) = V1 – x²