?If is a positive function and $f^{\prime \prime}(x)<0$ for \(a \leqslant x \leqslant

Chapter 7, Problem 47

(choose chapter or problem)

If $f$ is a positive function and $f^{\prime \prime}(x)<0$ for $a \leqslant x \leqslant b$, show that

$T_{n}<\int_{a}^{b} f(x) d x<M_{n}$

Equation Transcription:

$f"(x)<0$

$a$ ⩽ $x$ ⩽ $b$

${T}_{n}<\int\limits_{a}^{b}f(x)dx<{m}_{n}$

Text Transcription:

F double quote (X) < 0

A leqslant x leqslant b

T_n < integral a b f(x)dx < m_n

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?If is a positive function and \(f^{\prime \prime}(x)<0\) for \(a \leqslant x \leqslant