I'm really not sure how to get started on this problem as my book does not give me any good examples. Please help!
Suppose the graph of f on the interval [a, b] has length L, where f ' is continuous on [a, b]. Evaluate the following integrals in terms of L.
. . . . .\(\displaystyle \mbox{a. }\, \displaystyle \int_{a/2}^{b/2}\, \sqrt{\strut 1\, +\, \left[f'(2x)\right]^2\,}\, dx\)
. . . . .\(\displaystyle \mbox{b. }\, \displaystyle \int_{a/c}^{b/c}\, \sqrt{\strut 1\, +\, \left[f'(cx)\right]^2\,}\, dx\)
Suppose the graph of f on the interval [a, b] has length L, where f ' is continuous on [a, b]. Evaluate the following integrals in terms of L.
. . . . .\(\displaystyle \mbox{a. }\, \displaystyle \int_{a/2}^{b/2}\, \sqrt{\strut 1\, +\, \left[f'(2x)\right]^2\,}\, dx\)
. . . . .\(\displaystyle \mbox{b. }\, \displaystyle \int_{a/c}^{b/c}\, \sqrt{\strut 1\, +\, \left[f'(cx)\right]^2\,}\, dx\)
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