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Example : Area under Simple Curves Video Lecture | Mathematics (Maths) Class 12 - JEE

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FAQs on Example : Area under Simple Curves Video Lecture - Mathematics (Maths) Class 12 - JEE

1. What is the formula to find the area under a simple curve?
Ans. The formula to find the area under a simple curve is given by integrating the function that represents the curve over the desired interval. For example, if the curve is represented by the function f(x), the formula would be ∫f(x)dx.
2. How can I determine the limits of integration for finding the area under a curve?
Ans. The limits of integration for finding the area under a curve depend on the given problem or the specific interval of interest. They are usually provided in the problem statement or can be identified based on the context of the curve. The lower limit is typically the starting point of the interval, and the upper limit is the ending point.
3. Is it necessary for the curve to be a simple curve to find its area?
Ans. No, it is not necessary for the curve to be a simple curve to find its area. The concept of finding the area under a curve can be extended to more complex curves as well. However, the method of finding the area may differ depending on the complexity of the curve.
4. Can we find the area under a curve using numerical methods instead of integration?
Ans. Yes, it is possible to find the area under a curve using numerical methods instead of integration. Numerical methods, such as the trapezoidal rule or Simpson's rule, can be used to approximate the area under a curve when it is not possible or practical to find the exact solution using integration.
5. What are some real-life applications of finding the area under simple curves?
Ans. Finding the area under simple curves has various real-life applications. It is used in physics to calculate the work done by a force, in economics to determine the total revenue or profit, in statistics to calculate probabilities, and in engineering to analyze the performance of systems or structures. Additionally, it is also used in fields such as finance, biology, and environmental science to solve various problems and make informed decisions.
204 videos|288 docs|139 tests

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