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Gilbert Strang, Calculus, 3rd edition (Wellesley-Cambridge Press; MIT OpenCourseWare RES.18-001) §6.4 Logarithms, #58 · Calculus · Differentiation rules

Prove that … for

Prove that $ln x \leq 2 (x - 1)$ for $x > 1$ . Compare the integrals of $1/ t$ and $1/ t$ , from 1 to $x$ .

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Gilbert Strang, Calculus, 3rd edition (Wellesley-Cambridge Press; MIT OpenCourseWare RES.18-001) · §6.4 Logarithms, #58

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