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Finding Area Between 2 Curves Video Lecture | Mathematics (Maths) Class 12 - JEE

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FAQs on Finding Area Between 2 Curves Video Lecture - Mathematics (Maths) Class 12 - JEE

1. What is the formula to find the area between two curves?
Ans. The formula to find the area between two curves is given by the definite integral of the difference between the two curves over the interval of interest.
2. How do I determine the interval of interest for finding the area between two curves?
Ans. To determine the interval of interest, you need to find the x-values where the two curves intersect. Take these x-values as the limits of integration for the definite integral.
3. Can the area between two curves be negative?
Ans. No, the area between two curves cannot be negative. The area represents a physical quantity and is always positive or zero. If the integral yields a negative value, it implies that you have chosen the limits of integration in the wrong order.
4. What should I do if the two curves do not intersect?
Ans. If the two curves do not intersect, it means there is no enclosed region between them. In this case, the area between the curves is zero.
5. Can I find the area between curves using numerical methods?
Ans. Yes, if the functions are too complex to find an antiderivative, numerical methods like the trapezoidal rule or Simpson's rule can be used to approximate the area between curves. These methods divide the interval into small regions and sum up the areas of each region.
204 videos|288 docs|139 tests

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