Could you help me write a python code for this please:Apply the composite Trapezoidal rule to approximate the integral (integral shown below) N=10 rectangles. Calculate the absolute error using the exact integral 11/6. Repeat your calculation for N=10, 20, 30, 40, 50. The expression shown is an integral calculation, which is commonly used in mathematics to find areas under curves and solve various problems involving continuous functions. The integral is defined as:\[\int_{a}^{b} f(x) \, dx \]For this specific problem, the parameters are given as:- \( a = 0 \)- \( b = 1 \)- The function \( f(x) = x^2 + 3x \)This means we want to evaluate the definite integral of \( f(x) = x^2 + 3x \) from \( x = 0 \) to \( x = 1 \). This process will give us the area under the curve of the function \( f(x) \) between these two points on the x-axis.

Algorithm for the code:- 1. Start 2. Define a function for the trapezoidal rule. 3. Input the…

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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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Could you help me write a python code for this please:

Apply the composite Trapezoidal rule to approximate the integral (integral shown below) N=10 rectangles. Calculate the absolute error using the exact integral 11/6. Repeat your calculation for N=10, 20, 30, 40, 50.

The expression shown is an integral calculation, which is commonly used in mathematics to find areas under curves and solve various problems involving continuous functions.

The integral is defined as:

\[
\int_{a}^{b} f(x) \, dx
\]

For this specific problem, the parameters are given as:
- \( a = 0 \)
- \( b = 1 \)
- The function \( f(x) = x^2 + 3x \)

This means we want to evaluate the definite integral of \( f(x) = x^2 + 3x \) from \( x = 0 \) to \( x = 1 \). This process will give us the area under the curve of the function \( f(x) \) between these two points on the x-axis.

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