Estimating the value of a convergent improper integral whose domain is infinite a. Show that | e dx =e9 < 0.000042, and hence that e* dr < 0.000042. Explain why this means that e dx can be replaced by e dr without introducing an error of magnitude greater than 0.000042. |b. Evaluate o e* dx numerically.

Advanced Engineering Mathematics
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Chapter2: Second-order Linear Odes
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Estimating the value of a convergent improper integral whose
domain is infinite
a. Show that
| e dx =e9 < 0.000042,
and hence that e* dr < 0.000042. Explain why this
means that e dx can be replaced by e dr without
introducing an error of magnitude greater than 0.000042.
|b. Evaluate o e* dx numerically.
Transcribed Image Text:Estimating the value of a convergent improper integral whose domain is infinite a. Show that | e dx =e9 < 0.000042, and hence that e* dr < 0.000042. Explain why this means that e dx can be replaced by e dr without introducing an error of magnitude greater than 0.000042. |b. Evaluate o e* dx numerically.
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