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Finding Area Between 2 Curves Video Lecture | Mathematics (Maths) for JEE Main & Advanced
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FAQs on Finding Area Between 2 Curves Video Lecture - Mathematics (Maths) for JEE Main & Advanced
| 1. How do you find the area between two curves? |  |
To find the area between two curves, you need to determine the points where the two curves intersect. These points define the boundaries of the region whose area you want to find. Then, integrate the difference between the two curves over this interval to calculate the area.
| 2. What is the formula for finding the area between two curves? | |
The formula for finding the area between two curves is:
Area = ∫[a, b] (f(x) - g(x)) dx,
where f(x) and g(x) are the two curves, and [a, b] represents the interval over which the two curves intersect.
| 3. Can the area between two curves be negative? | |
No, the area between two curves cannot be negative. The area represents a measure of the region enclosed by the curves, and it is always a positive value. If the integral yields a negative result, it means that the curves were integrated in the wrong order or the boundaries were incorrectly defined.
| 4. What if the curves do not intersect? Can we still find the area between them? | |
If the two curves do not intersect, it means there is no enclosed region between them, and therefore, the area between them does not exist. In such cases, you cannot find the area between the curves.
| 5. Is it possible for the area between two curves to be infinite? | |
Yes, it is possible for the area between two curves to be infinite. This can occur when the two curves are unbounded and never intersect or when one of the curves is vertical. In such cases, the area between the curves extends infinitely in either the x-axis or y-axis direction, resulting in an infinite area.
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Nov 22, 2024 Last updated |
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