MATLAB - Numerical Methods
Given a function
f(x) = exp(-x^2), how can you numerically integrate it from -2 to 2 in MATLAB with high accuracy?Given a function f(x) = exp(-x^2), how can you numerically integrate it from -2 to 2 in MATLAB with high accuracy?
hard📝 Application Q9 of 15
Step-by-Step Solution
Solution:
Step 1: Understand function and integration range
Function is smooth, integration limits are finite.Step 2: Choose numerical method
integral uses adaptive quadrature, providing high accuracy for smooth functions.Step 3: Compare other options
trapz is less accurate due to fixed step size, quad is older, symbolic int may not have closed form.Final Answer:
Use integral(@(x) exp(-x.^2), -2, 2) -> Option CQuick Check:
integral with function handle for high accuracy [OK]
Quick Trick: integral adapts intervals for accuracy, best for smooth functions [OK]
Common Mistakes:
- Using trapz with coarse step size
- Using deprecated quad function
- Expecting symbolic integral always works
Master "Numerical Methods" in MATLAB
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