In mathematics, the concept of area under curves plays a crucial role in various fields such as physics, economics, and engineering. It involves calculating the area enclosed by a curve and the x-axis within a given interval.

To understand the significance of the area under curves, let's consider a simple example. Picture a graph with the x-axis representing time and the y-axis representing the speed of a car. By finding the area under the curve of the speed-time graph, we can determine the distance traveled by the car within a specific time interval.

The area under curves can be calculated using definite integrals, which involve finding the antiderivative of a given function and evaluating it within the given interval. Don't worry if this sounds overwhelming at first. We will explore the step-by-step process in subsequent posts, making it much simpler to grasp.

Remember, understanding the concept of area under curves will not only enhance your mathematical prowess but also enable you to solve real-world problems more effectively and efficiently!