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Clavis TMUA Set B Paper 1 · Q14

Paper 1CalculusPowers & logarithms

The trapezium rule with 33 strips of equal width is used to estimate

∫14log⁡10x dx.\int_1^4\log_{10}x\,dx.

Which one of the following is the estimate?

Alog⁡106\log_{10}6
Blog⁡1012\log_{10}12
Clog⁡1018\log_{10}18
Dlog⁡1024\log_{10}24
Elog⁡1036\log_{10}36
Flog⁡10144\log_{10}144

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