A typical NMR peak after Fourier transform has a Lorentzian absorptive line shape. This line shape is represented by the function below, where x is in Hz f (x) = x2 + 1 Write a program to calculate the integral of this function using Riemann sums on the range from [-10, 10] (inclusive) with dx = 0.01. In other words, estimate the following integral with a Riemann sum. 10 1 x2 + 1 -10

A typical NMR peak after Fourier transform has a Lorentzian absorptive line shape. This line shape is represented by the function below, where x is in Hz f (x) = x2 + 1 Write a program to calculate the integral of this function using Riemann sums on the range from [-10, 10] (inclusive) with dx = 0.01. In other words, estimate the following integral with a Riemann sum. 10 1 x2 + 1 -10

Database System Concepts

7th Edition

ISBN:9780078022159

Author:Abraham Silberschatz Professor, Henry F. Korth, S. Sudarshan

Publisher:Abraham Silberschatz Professor, Henry F. Korth, S. Sudarshan

Chapter1: Introduction

Section: Chapter Questions

Problem 1PE

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Recurrence relation

A recurrence relation or recursive relation is an equation that represents a function in terms of the values of its smaller inputs. Every recurrence relation T(n) is a recursive function of integer n and consists of a base case and a recursive case.

Question

A typical NMR peak after Fourier transform has a Lorentzian absorptive line shape. This line
shape is represented by the function below, where x is in Hz
1
f (x) :
x2 + 1
Write a program to calculate the integral of this function using Riemann sums on the range from
[-10, 10] (inclusive) with dx = 0.01. In other words, estimate the following integral with a
Riemann sum.
10
1
x2 + 1
-10

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