# How do I find the area of the region bounded by following?

#### Drioton

Homework: Misplaced Thread -- Member warned to post homework questions in the appropriate area
Using integrals, consider the 7 requirements:
Any my attempted solution that I have no idea where I am going:
And the other one provides the graph:   Related Calculus and Beyond Homework News on Phys.org

#### mfb

Mentor
I'm not sure what you did in your approach besides rewriting the equations and it is difficult to read or understand.

This shouldn't be the first "find the area" problem you encounter. How did you solve the previous problems?

You have marked two intersections of the different equations already. What are their coordinates? Where is a third intersection at the boundary of your area?

You can integrate over x or over y. How would you set up the integrals? Which one looks easier?

#### Drioton

I'm not sure what you did in your approach besides rewriting the equations and it is difficult to read or understand.

This shouldn't be the first "find the area" problem you encounter. How did you solve the previous problems?

You have marked two intersections of the different equations already. What are their coordinates? Where is a third intersection at the boundary of your area?

You can integrate over x or over y. How would you set up the integrals? Which one looks easier? Here, but these two problems are different. they only consist of one function. Whereas this question has “x is greater than or equal to zero” (what is the meaning of this with respect to the problem) part, and has two functions. Besides the solution in yellow paper, it is unclear how I figure these out?

#### mfb

Mentor
You could rotate your images in the correct orientation, that would help already.
Here, but these two problems are different. they only consist of one function.
It is still the area between four boundary lines. Here you just have three.

In one of the two options for the integration it is advisable to split the area into two regions, calculate their area separately and then add them. In the other case (the easier one!) this is not necessary.

### Want to reply to this thread?

"How do I find the area of the region bounded by following?"

### Physics Forums Values

We Value Quality
• Topics based on mainstream science
• Proper English grammar and spelling
We Value Civility
• Positive and compassionate attitudes
• Patience while debating
We Value Productivity
• Disciplined to remain on-topic
• Recognition of own weaknesses
• Solo and co-op problem solving