Solve the Problem $\mathrm { f } ( \mathrm { x } ) = \sqrt { \mathrm { x } ^ { 2 } + 1 }$

question 26

Short Answer

Solve the problem.
- $\mathrm { f } ( \mathrm { x } ) = \sqrt { \mathrm { x } ^ { 2 } + 1 }$ is defined on the interval $[ 0,4 ]$ . In (a) and (b), approximate the area under $\mathrm { f }$ (to three decimal place follows:
(a) Partition $[ 0,4 ]$ into four subintervals of equal length and choose $u$ as the left endpoint of each subinterval.
(b) Partition $[ 0,4 ]$ into four subintervals of equal length and choose $\mathrm { u }$ as the right endpoint of each subinterval.
(c) Use a graphing utility to approximate the actual area $A$ . s

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