Calculating Area Using Integrals for Complex Building Shapes

[apiwowar]

concrete sections for a new building have the dimensions in meters and shapw shown in the figure.

a)find the area of the face of the section superimposed on the rectangular coordinate system.


The way i tried to solve this was to split it up into 2 integrals and add them together to get the area

the integrals were

integral from -5.5 to 0 of 1/3*sqrt(5+x)dx + integral from 0 to 5.5 of 1/3*sqrt(5-x)dx

I tried the first part and got

2/9*(5+x)^(3/2) but when you evaluate it at -5.5 you end up taking the squareroot of a negative number.

Did i do it completely wrong? or did i just make a simple mistake?

any help would be appreciated.

 

[apiwowar]

figured it out, couldn't figure out how to delete a post though.