Answer :
Answer:
Negative integration provides a way to account for the net effect of both positive and negative contributions to the integral, allowing us to accurately describe and analyze a wide range of phenomena.
Step-by-step explanation:
Negative integration is a concept in calculus that refers to finding the antiderivative or integral of a function but with the result being negative. In other words, it involves integrating a function but considering the area below the x-axis as negative.
In the context of definite integration, negative integration means finding the area below the x-axis and subtracting it from the total area above the x-axis. This is often encountered when dealing with functions that oscillate above and below the x-axis, resulting in areas that contribute positively and negatively to the total integral.
For example, if we have a function f(x) that oscillates between positive and negative values over an interval [a, b], the area above the x-axis represents the positive contribution to the integral, while the area below the x-axis represents the negative contribution. When performing negative integration, we calculate both areas separately and then subtract the negative area from the positive area to find the net result.
Negative integration is important in various fields of science and engineering, especially in situations where quantities can be both positive and negative, such as in the analysis of alternating currents in electrical engineering or in the study of oscillatory motion in physics.
Overall, negative integration provides a way to account for the net effect of both positive and negative contributions to the integral, allowing us to accurately describe and analyze a wide range of phenomena.
