MATLAB - Numerical Methods
What will be the output of this MATLAB code?
f = @(x) x.^3;
result = integral(f, 1, 2);
disp(round(result,2));
What will be the output of this MATLAB code?
medium📝 Predict Output Q5 of 15
Step-by-Step Solution
Solution:
Step 1: Calculate integral of x^3 from 1 to 2
Integral of x^3 dx = (x^4)/4, evaluate from 1 to 2 = (2^4)/4 - (1^4)/4 = (16/4) - (1/4) = 15/4 = 3.75Step 2: Check rounding
Result is 3.75, rounding to 2 decimals remains 3.75Final Answer:
3.75 -> Option DQuick Check:
Integral of x^3 from 1 to 2 = 3.75 [OK]
Quick Trick: Integral of x^n is x^(n+1)/(n+1) [OK]
Common Mistakes:
- Forgetting to divide by n+1
- Incorrect limits evaluation
- Rounding errors
Master "Numerical Methods" in MATLAB
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