Edexcel FP1 2023 June — Question 1

Exam BoardEdexcel
ModuleFP1 (Further Pure Mathematics 1)
Year2023
SessionJune
PaperDownload PDF ↗
TopicArea Under & Between Curves

  1. (a) Use Simpson's rule with 4 intervals to find an estimate for
$$\int _ { 0 } ^ { 2 } \mathrm { e } ^ { \sin ^ { 2 } x } \mathrm {~d} x$$ Give your answer to 3 significant figures. Given that \(\int _ { 0 } ^ { 2 } \mathrm { e } ^ { \mathrm { sin } ^ { 2 } x } \mathrm {~d} x = 3.855\) to 4 significant figures,
(b) comment on the accuracy of your answer to part (a).

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  \item (a) Use Simpson's rule with 4 intervals to find an estimate for
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$$\int _ { 0 } ^ { 2 } \mathrm { e } ^ { \sin ^ { 2 } x } \mathrm {~d} x$$

Give your answer to 3 significant figures.

Given that $\int _ { 0 } ^ { 2 } \mathrm { e } ^ { \mathrm { sin } ^ { 2 } x } \mathrm {~d} x = 3.855$ to 4 significant figures,\\
(b) comment on the accuracy of your answer to part (a).

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