The area under the curve can be calculated through three simple steps. First, we need to know the equation of the curve(y = f(x)), the limits across which the area is to be calculated, and the axis enclosing the area. Secondly, we have to find the integration (antiderivative) of the curve. Finally, we need to apply the upper limit and lower limit to the integral answer and take the difference to obtain the area under the curve.
Area = a∫by.dxa∫by.dx
= a∫bf(x).dxa∫bf(x).dx
=[g(x)]ba[g(x)]ab
=g(b)−g(a)g(b)−g(a)
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