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To compute the area under a curve we use the concept of :

  • A.Differentiation
  • B.Limits
  • C.Integration
  • D.Probability

Answer: C

The area under a curve is computed using Integration.

The definite integral of a function between two limits gives the area between the curve and the horizontal axis over that interval:

\[ A = \int_{a}^{b} f(x)\, dx \]

In economics this is how consumer and producer surplus, total cost from marginal cost, and probabilities under a density function are found. Differentiation gives slopes and rates of change, not areas. Limits underlie integration but are not the method itself, and probability is one application of areas under a curve, not the means of computing them.

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