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Area Under a Curve
Interactive Calculator



The unit of measurement is in radian :

π/2 (90°) =1.57 rad ; π (180°) =3.1416 rad; 3π/2 (270°) =4.71 rad ; 2π (360°) =6.28 rad



INSTRUCTION ON HOW TO USE GEOGEBRA SHOWN BELOW TO PRACTICE HOW TO CALCULATE THE AREA UNDER THE CURVE AND X-AXIS.

Step 1. Enter in input box the equation as is: f(x)=sin(x) next press the enter button in your keyboard. If y = 4 or sine wave amplitude is 4 enter: f(x)=4sin(x)

Step 2. Enter in input box integral[f,0,4.71]

Step 3. The integral or area from 0 to 4.71 radian is equal to 1 because the sum of all positive area is 2 and the sum of all negative area is 1. Adding positive area and negative area is the effective area = 2-1 = 1

In a pure capacitive circuit load and pure inductive circuit load, the average power used (true power) is zero. Shown below is V-I Characteristic graph of a pure capacitive circuit. How can you tell if it is a pure capacitive circuit? Answer because the resulting current is leading the applied voltage by 90° Click the play button for animation showing the average power or average area under the curve is zero. Move the circle slider to 6.2832 radian or 2π



Apolinario "Sam" Ortega, 3 July 2016, Created with GeoGebra

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