I need help with number 30. PLEASE

http://books.google.com/books?id=yT6LAwAAQBAJ&pg=PA13-IA17&lpg=PA13-IA17&dq=refer+to+the+graph+for+t%2Bg(t)dx&source=bl&ots=DRGqwJhoN5&sig=QvDioFKXN9wAaj8KisB_nY7s4SE&hl=en&sa=X&ei=t_FzVKqEOMi5oQTGvoHoBA&ved=0CCAQ6AEwAA#v=onepage&q=refer%20to%20the%20graph%20for%20t%2Bg(t)dx&f=false

Question

I need help with number 30. PLEASE 

http://books.google.com/books?id=yT6LAwAAQBAJ&pg=PA13-IA17&lpg=PA13-IA17&dq=refer+to+the+graph+for+t%2Bg(t)dx&source=bl&ots=DRGqwJhoN5&sig=QvDioFKXN9wAaj8KisB_nY7s4SE&hl=en&sa=X&ei=t_FzVKqEOMi5oQTGvoHoBA&ved=0CCAQ6AEwAA#v=onepage&q=refer%20to%20the%20graph%20for%20t%2Bg(t)dx&f=false

dumbcow · Answer

$$\int\limits_0^8 t+g(t) = \int\limits_0^8 t + \int\limits_0^8 g(t)$$
$$\int\limits_0^8 t = \frac{t^2}{2} |_0^8 = 32$$
$$\int\limits_0^8 t+g(t) = 32 + 2 = 34$$