Find area under curve and energy of function (matlab)

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SUMMARY

The discussion centers on calculating the area under the curve and energy of a function using MATLAB. The first function yields an area of 0 and energy of 0, while the second function's area is calculated as 1.73, resulting in an energy of 2.99. The integral is evaluated from t=-2 to t=5 using the trapezoidal rule via the MATLAB function trapz(). Additionally, alternative integration methods for the second function are suggested, including integrating e^-t over specified intervals.

PREREQUISITES
  • Understanding of integral calculus and its applications
  • Familiarity with MATLAB programming and its syntax
  • Knowledge of the trapezoidal rule for numerical integration
  • Basic concepts of energy calculations in physics
NEXT STEPS
  • Explore MATLAB's trapz() function for numerical integration
  • Learn about different numerical integration techniques, such as Simpson's rule
  • Study the properties of exponential functions and their integrals
  • Investigate energy calculations in various physical systems
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Students and professionals in mathematics, engineering, and physics who are involved in numerical analysis and function evaluation using MATLAB.

asdf12312
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Homework Statement


image.png


For the 1st one you wouldn't really need MATLAB I guess to find the area under the curve, it is 0 and so is its energy. For the 2nd one I got A=1.73 and so E=2.99.

Homework Equations


area under curve = evaluate integral from t=t1 to t=t2. in this case t=-2 to t=5 since they are both defined only that far.

energy = area2

The Attempt at a Solution


Used MATLAB and the waveforms for the functions are plotted below. I used trapz() to approximate the integral i.e. to find the area. I could post the MATLAB code but wouldn't think it would be of much use.

image2.png
 
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hi asdf12312! :smile:

(what are you asking about?)

for the 2nd one, can't you integrate e-t ?
 
I guess you could lol. Integrating e^-t from t=0 to t=2 and e^(t-4) from t=2 to t=4. so u would get the answer i had listed.. i don't really know what my question was :(
 

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