Area Between Two Curves

What is Area between two Curves.

The area between two curves is the region bounded by two curves in a plane and can be calculated by the integration of the absolute difference between both curves over the interval of interest.

How do you find the Area Between Two Curves?

To find the area between two curves, we need to integrate the absolute difference of both curves between the limit of integration which can be calculated using the intersection points of both graphs.

What is the Difference between Finding the Area Between Curves and Finding the Area Under a Curve?

The area between two curves is the area enclosed between two curves whereas the area under a curve is the area enclosed by the curve and x-axis between any given limits. Both can be calculated using the integration but in the area between curves, we need to calculate the points of intersection.

Can the Area Between Two Curves be Negative?

No, the area between two curves can’t be negative as it is the integral of the absolute difference of any two curves. Thus, it can have a positive value or zero value but not a negative value.

Can the area between two curves be infinite?

Yes, the area between two curves can be infinite if the curves intersect at infinity i.e., both curves have the same horizontal asymptote.

Can the Area between two curves be calculated if the curves do not intersect?

No, the area between two curves can’t be calculated if the curves don’t intersect, as there is no enclosed area between curves in such a case.

Area Between Two Curves in Calculus is one of the applications of Integration. It helps us calculate the area bounded between two or more curves using the integration. As we know Integration in calculus is defined as the continuous summation of very small units. The topic “Area Between Two Curves” has applications in the various fields of engineering, physics, and economics. 

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