What shaded region? There is nothing shaded. What is the verbal description of the region?november1992 said:Homework Statement
http://img545.imageshack.us/img545/6260/hardproblem.png
No, that is incorrect. To confirm this fact, differentiate your result. If you don't get the original integrand, that's a clue that you're on the wrong track.november1992 said:Homework Equations
1. First I solved for y
2. I put it in the form f(x)-(g(x)
3. Then I integrated
The Attempt at a Solution
The answer in my book says it is ∏/2.
I don't think I'm integrating right. I end up with this towards the end
http://img15.imageshack.us/img15/2431/hardproblem3rdstep.png
The formula for finding the total area of the shaded region is to first find the area of the entire shape and then subtract the areas of any non-shaded regions. This can be done using various formulas depending on the shape, such as A = πr² for a circle or A = l x w for a rectangle.
Yes, in order to find the total area of the shaded region, you will need to know the dimensions of the shaded area and the entire shape. This information can be given or can be measured or calculated based on the given information.
No, the formula for finding the total area of the shaded region will vary depending on the shape. Different shapes have different formulas for calculating their area, so it is important to use the correct formula for the given shape.
Finding the total area of the shaded region is important in various real-world applications, such as calculating the amount of paint needed to cover a wall or determining the total cost of a piece of land. It is also a fundamental concept in geometry and can help with understanding more complex mathematical concepts.
Yes, if you do not have exact measurements for the shaded region, you can estimate the total area by breaking it down into smaller, simpler shapes and finding the area of each individual shape. You can then add these areas together to get an estimate of the total area of the shaded region.