Saturday

April 19, 2014

April 19, 2014

Posted by **tiffany** on Wednesday, December 11, 2013 at 6:34pm.

Enclosed by y = x^2 − 4x + 1 and y = −x^2 + 4x − 5

- Calculus -
**Reiny**, Wednesday, December 11, 2013 at 6:57pmHere is a sketch

http://www.wolframalpha.com/input/?i=plot+y+%3D+x%5E2+−+4x+%2B+1+and+y+%3D+−x%5E2+%2B+4x+−+5

Easy to find their intersection points:

(1, -2) and (3, -2)

effective height between x = 1 and x = 3

= (-x^2 + 4x - 5) - (x^2 - 4x + 1)

= -2x^2 +8x -6

area = ∫(-2x^2 + 8x - 6) dx from x = 1 to 3

= [(-2/3)x^3 + 4x^2 - 6x] from 1 to 3

= ( -18 + 36 - 18) - (-2/3 + 4 - 6)

= 8/3

check my arithmetic

**Related Questions**

Calculus - Find the area of the indicated region. We suggest you graph the ...

Calculus - Find the area of the indicated region. We suggest you graph the ...

Calculus - Use the limit process to find the area of the region between the ...

Calculus - Find the area of the indicated region. We suggest you graph the ...

Calculus Help!! - Region R is bounded by the functions f(x) = 2(x-4) + pi, g(x...

Calculus - Find the area of the indicated region. We suggest you graph the ...

Calculus - Find the area of the indicated region. We suggest you graph the ...

calculus - find the area of the region under the curve y=f(x)=e^2x over the ...

calculus - Find the area of the indicated region. We suggest you graph the ...

calculus - Find the area of the indicated region. We suggest you graph the ...