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Official 2021 Paper 1 · Q10

Paper 1CalculusPowers & logarithms

Use the trapezium rule with 3 strips to estimate

∫1222log⁡10x dx\int_{\frac12}^2 2\log_{10}x\,\dd x
Alog⁡1062\log_{10}\frac{\sqrt6}2
Blog⁡1032\log_{10}\frac32
Clog⁡1094\log_{10}\frac94
Dlog⁡103\log_{10}3
Elog⁡108116\log_{10}\frac{81}{16}
Flog⁡10232\log_{10}\frac{\sqrt{23}}2

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