Rectangle
l = 7.2 - 1.7 = 5.5 ft b = 3.4 ft
Semicircle
r = 1.7 ft
Shaded region = area of rectangle + area of semicircle
= l x b + πr²/2
= 5.5 x 3.4 + 3.14 x 1.7 x 1.7 x 1/2
= 18.7 + 4.5373
= 23.2373 ft²
Simplify the integrands by polynomial division.


Now computing the integrals is trivial.
5.

where we use the power rule,

and a substitution to integrate the last term,

8.

using the same approach as above.
I will think that the answer is d