Let I denote the definite integral of f over an interval[a, b] with Tn and Mn the

Chapter 7, Problem 2

(choose chapter or problem)

Let \(I\) denote the definite integral of \(f\) over an interval [a,b] with \(T_{n}\) and \(M_{n}\) the respective trapezoidal and midpoint approximations of \(I\) for a given n. Assume that the graph of \(f\) is concave up on the interval [a,b] and order the quantities \(T_{n}, M_{n}\) and \(I\) from smallest to largest:

________ < ____________ < _________

Equation Transcription:

Text Transcription:

I

f

T_n

M_n