- #1
mathelord
when three curves intersect,i mean like the intersection of three straight lines to give a triangle,how can one find the area between the curves
To find the area between two curves, you need to first graph the two curves and identify the points of intersection. Then, you can use the definite integral to calculate the area between the two curves by subtracting the area under the lower curve from the area under the upper curve.
No, graphing is an essential step in finding the area between two curves. It helps to visualize the curves and identify the points of intersection, which are necessary for calculating the area using definite integrals.
If the curves intersect multiple times, you will need to split the area into smaller sections and use the definite integral for each section. Then, you can add the individual areas together to find the total area between the curves.
Yes, there are a few special cases to consider, such as when one curve is above the other for the entire interval, or when one curve is entirely contained within the other. In these cases, the area between the curves can be found using a single definite integral.
Yes, you can use any type of curve, including linear, quadratic, exponential, or trigonometric curves, to find the area between two curves. The method for finding the area will be the same, regardless of the type of curve.