The area from antiderivative of curve to x-axis refers to the total area under a curve on a graph, starting from the x-axis and extending up to the curve. It is also known as the definite integral.
The area from antiderivative of curve to x-axis is calculated by finding the antiderivative (or indefinite integral) of the given curve and then plugging in the upper and lower limits of integration (usually denoted as a and b) into the antiderivative formula. The resulting value is the area under the curve from a to b.
The area from antiderivative of curve to x-axis is directly related to the antiderivative function. The antiderivative function is the inverse operation of differentiation, and it represents the rate of change of the original function. Therefore, the antiderivative function can be used to calculate the area under the curve on a graph.
The area from antiderivative of curve to x-axis has many real-life applications, such as calculating the work done by a variable force, determining the distance traveled by an object with changing velocity, and finding the total profit of a business over a certain period of time.
Yes, the area from antiderivative of curve to x-axis can be negative. This occurs when the curve lies below the x-axis, resulting in a negative area. In this case, the absolute value of the negative area represents the actual area under the curve.