Find the area of the region enclosed by these graphs and the vertical lines x = 3 and x = 5

Question

f(x)=x^2+5 g(x)=1

Answer 1

ʃ (x^2+5)-1)dx

ʃ (x^2+4)dx

x^3/3 + 4x from 3 to 5
5^3/3 +4(5) -(3^3/3 + 4(3))
125/3 +20 -27/3 -12
=122/3