let R be the region bounded by the x-axis, the graph of y=sqrt(x+1), and the line x=3.

Question

Find the area of the region R

Answer 1

the curve starts at (-1,0)

area = [integral] (x+1)^(1/2) dx from -1 to 3
= (2/3)(x+1)^(3/2) from -1 to 3
= (2/3)(4)^(3/2)
= 16/3

check my arithmetic