[Solved] What is the main difference between integral and trapz functions in MATLAB? — Ans: integral uses adaptive quadrature; trapz uses trapezoidal rule on data points | MATLAB

MATLAB - Numerical Methods

What is the main difference between integral and trapz functions in MATLAB?

A<code>integral</code> calculates derivatives; <code>trapz</code> calculates integrals

B<code>integral</code> uses adaptive quadrature; <code>trapz</code> uses trapezoidal rule on data points

C<code>integral</code> is for symbolic math; <code>trapz</code> is for numeric math

D<code>integral</code> works only on vectors; <code>trapz</code> works on functions

Step-by-Step Solution

Solution:

Step 1: Understand integral function
integral numerically integrates a function handle using adaptive quadrature, which adjusts intervals for accuracy.
Step 2: Understand trapz function
trapz applies the trapezoidal rule to vectors of data points, approximating the area under discrete points.
Final Answer:
integral uses adaptive quadrature; trapz uses trapezoidal rule on data points -> Option B
Quick Check:
Difference between integral and trapz = integral uses adaptive quadrature; trapz uses trapezoidal rule on data points [OK]

Quick Trick: integral works on functions; trapz works on data points [OK]

Common Mistakes:

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