- 67

- 0

**[SOLVED] area problem**

**1. Homework Statement**

find c>0 such that the area of the region enclosed by the parabolas y=x^2-c^2 and y=c^2-x^2 is 180.

**2. Homework Equations**

Do I need to use the formula for the area of the circle?

**3. The Attempt at a Solution**

I graphed both functions and I can clearly see that they are symmetrical parabolas one upward and one downward parabolas.

Then, I tried to work backwards and find the integral. [tex]\int[/tex](2x[tex]^{}2[/tex]-2c[tex]^{}2[/tex])dx

**1. Homework Statement**

**2. Homework Equations**

**3. The Attempt at a Solution**