Solve the Problem $f ( x ) = \sqrt [ 3 ] { x }$

question 134

Short Answer

Solve the problem.
- $f ( x ) = \sqrt [ 3 ] { x }$ is defined on the interval 0, 6 .
(a) Approximate the area A under the graph of f by partitioning 0, 6 into three subintervals of equal length and
choose u as the left endpoint of each subinterval.
(b) Approximate the area A under the graph of f by partitioning 0, 6 into three subintervals of equal length and
choose u as the right endpoint of each subinterval.
(c) Express the area A as an integral.
(d) Use a graphing utility to approximate this integral to three decimal places.

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Definitions:

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