FAQs on Examples: Area Between 2 Curves Video Lecture | Mathematics CUET Preparation - Commerce

Question 1

1. What is the area between two curves?

Accepted Answer

Ans. The area between two curves is the region enclosed by two curves on a coordinate plane. It represents the space between the two curves and can be calculated using definite integrals.

Question 2

2. How do you find the area between two curves?

Accepted Answer

Ans. To find the area between two curves, you need to determine the points of intersection between the curves, set up the integral by subtracting one curve from the other, and integrate the resulting expression over the interval of intersection.

Question 3

3. Can the area between two curves be negative?

Accepted Answer

Ans. No, the area between two curves is always a positive value. It represents the magnitude of the enclosed region, so it cannot be negative.

Question 4

4. What if the curves intersect multiple times? How do you calculate the area?

Accepted Answer

Ans. If the curves intersect multiple times, you need to break down the interval of integration into smaller intervals between each pair of intersection points. Then, you calculate the area separately for each interval and sum them up to find the total area between the curves.

Question 5

5. Can you find the area between two curves if they do not intersect?

Accepted Answer

Ans. No, if two curves do not intersect, there is no enclosed region between them, and therefore, no area between the curves can be calculated. The concept of finding the area between curves relies on the existence of an enclosed region.

Examples: Area Between 2 Curves Video Lecture | Mathematics CUET Preparation - Commerce