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Application of definite integral in real life?
Finding the area under a curve or the length of a line segment. These are real life uses, not just fun in your math class.
Difference between integral and differential calculus?
Differential calculus is concerned with finding the slope of a curve at different points. Integral calculus is concerned with finding the area under a curve.
How integration is reverse process of differentiation?
For example, the derivate of x2 is 2x; then, an antiderivative of 2x is x2. That is to say, you need to find a function whose derivative is the given function. The antiderivative is also known as the indifinite integral. If you can find an antiderivative for a function, it is fairly easy to find the area under the curve of the original function - i.e., the definite integral.
Discuss line integral and its real life applications?
A line integral can evaluate scalar and vector field functions along a curve/path. When applied on vector field, line integral is considered as measure of the total effect of the vector field along a specific curve whereas in scalar field application, the line integral is interpreted as the area under the field carved out by a particular curve.Line integral has many applications in physics. In mechanics, line integral is used to determine work done by a force in moving an object along a curve. In circuit analysis, it is used for calculating voltage.
What is the difference between backdrop and integral?
A backdrop typically refers to a background setting or context against which events occur, often used in theater or photography to enhance visual storytelling. In contrast, an integral is a fundamental concept in mathematics, particularly in calculus, representing the area under a curve or the accumulation of quantities. While a backdrop provides a visual context, an integral serves as a mathematical tool for analysis and calculation.
Geometrically the definite integral gives the area under the curve of the integrand Explain the corresponding interpretation for a line integral?
gemetrically the definite integral gives the area under the curve of the integrand. explain the corresponding interpretation for a line integral.
Definition of integration?
geometically , the definite integral gives the area under the curve of the integrad .
What helps you to find the area under a curve yx34x-3.6?
37.6
What does the area under the curve equal?
The are under the curve on the domain (a,b) is equal to the integral of the function at b minus the integral of the function at a
Application of definite integral in real life?
Finding the area under a curve or the length of a line segment. These are real life uses, not just fun in your math class.
What is integrating?
Integrating is the mathematical process used for finding the area under a curve. In principle, this is accomplished by creating a number of rectangles within the area and summing their areas to get an approximation of the total area under the curve. Obviously, the accuracy of the approximation is related to how closely the rectangles fit to the curve. The more rectangles you have, the closer their summed areas matches the area under the curve. At the point where you have an infinite number of rectangles, their summed area exactly matches the area under the curve. Integration is a mathematical operation performed on the equation of the curve which results in value for the area if the endpoints of the curve are defined (a definite integral) or AA mathematical expression for the area into which endpoints can be plugged (an indefinite integral).
Difference between integral and differential calculus?
Differential calculus is concerned with finding the slope of a curve at different points. Integral calculus is concerned with finding the area under a curve.
How do you draw a momentum -time graph for force-time graph?
The momentum-time graph is the integral of the force-time graph. that is, it is the area under the curve of the f-t graph.The momentum-time graph is the integral of the force-time graph. that is, it is the area under the curve of the f-t graph.The momentum-time graph is the integral of the force-time graph. that is, it is the area under the curve of the f-t graph.The momentum-time graph is the integral of the force-time graph. that is, it is the area under the curve of the f-t graph.
Area under graph?
Is the integral of the curve - between the two end points.
What is derivatives Integrals and the area under the curve called?
Derivatives, integrals, and the area under the curve are fundamental concepts in calculus. The derivative measures the rate of change of a function, while the integral represents the accumulation of quantities, such as area under a curve. The area under the curve is specifically calculated using definite integrals, which provide a numerical value for the total accumulation over a specified interval. Together, these concepts are essential for analyzing functions and their behaviors in mathematics and applied fields.
When you see and para what does this symbol indicate?
The symbol "∫" represents the integral sign in mathematics, indicating the operation of integration. It is used to calculate the area under a curve or the accumulation of quantities. The "∫" is typically followed by a function to be integrated and may include limits of integration if it's a definite integral. In contrast, "∫" without limits signifies an indefinite integral, representing a family of functions.
Applications of integral calculus?
Integration can be used to calculate the area under a curve and the volume of solids of revolution.
