# Math Help - Really need some help please!

1. ## Really need some help please!

Hi, how should I integrate this problem? find the area of the region enclosed by the equations:
2y=5sqrt(x),y=5, and 2y+2x=7. Thanks

2. it seems similar to these..

http://www.mathhelpforum.com/math-he...tml#post168552

except that the coefficients changed.. so try to do a similar solution..

3. Originally Posted by eawolbert
Hi, how should I integrate this problem? find the area of the region enclosed by the equations:
2y=5sqrt(x),y=5, and 2y+2x=7. Thanks
Intersection point of 2y = 5 sqrt(x) and 2y + 2x = 7 is (1, 5/2):

Substitute 2y = 5 sqrt(x) into 2y + 2x = 7: 5 sqrt(x) + 2x = 7. An obvious solution (and therefore avoid the algebra) is x = 1.

I'd integrate wrt y: Area = int[5/2, 5] (2y - 5)^2 - (7 - 2y)/2 dy.