calculus
posted by paul .
let R be the region bounded by the xaxis, the graph of y=sqrt(x+1), and the line x=3.
Find the area of the region R

calculus 
Reiny
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
Respond to this Question
Similar Questions

Calculus
This problem set is ridiculously hard. I know how to find the volume of a solid (integrate using the limits of integration), but these questions seem more advanced than usual. Please help and thanks in advance! 1. Find the volume of … 
calculus
let R be the region bounded by the graphs of y = sin(pie times x) and y = x^3  4. a) find the area of R b) the horizontal line y = 2 splits the region R into parts. write but do not evaluate an integral expression for the area of … 
calculus
The figure shows the region bounded by the xaxis and the graph of . Use Formulas (42) and (43)which are derived by integration by partsto find (a) the area of this region; (b) the volume obtained by revolving this region around … 
calculus
A region is bounded by the function y=2x^2+3 and the xaxis over the interval(0,2). Sketch the graph of the bounded region. Use the limit process to find the area of the bounded region. Explain the step in this limit process. Please … 
calculus
Find the volume of the solid generated by revolving the region about the given line. The region is in the first quadrant bounded above by the line y= sqrt 2, below by the curve y=secxtanx, and on the left by the yaxis. Rotate the … 
Calculus
1. Find the area of the region bounded by the curves and lines y=e^x sin e^x, x=0, y=0, and the curve's first positive intersection with the xaxis. 2. The area under the curve of y=1/x from x=a to x=5 is approximately 0.916 where … 
Calculus
Let f be the function given by f(x)=(x^3)/4  (x^2)/3  x/2 + 3cosx. Let R be the shaded region in the second quadrant bounded by the graph of f, and let S be the shaded region bounded by the graph of f and line l, the line tangent … 
CALCULUS HELP PLZ
The region R is bounded by the xaxis, yaxis, x = 3 and y = 1/(sqrt(x+1)) A. Find the area of region R. B. Find the volume of the solid formed when the region R is revolved about the xaxis. C. The solid formed in part B is divided … 
CALCULUS
The region R is bounded by the xaxis, yaxis, x = 3 and y = 1/(sqrt(x+1)) A. Find the area of region R. B. Find the volume of the solid formed when the region R is revolved about the xaxis. C. The solid formed in part B is divided … 
calculus
A region is bounded in the second quadrant by the curve y = ln(1–x), the line y=3, and the yaxis. Find the area of the region.