Mister Exam

Integral of sqrt(x+2) dx

Limits of integration:

from to
v

The graph:

from to

Piecewise:

The solution

You have entered [src]
  1             
  /             
 |              
 |    _______   
 |  \/ x + 2  dx
 |              
/               
0               
$$\int\limits_{0}^{1} \sqrt{x + 2}\, dx$$
The answer (Indefinite) [src]
  /                               
 |                             3/2
 |   _______          2*(2 + x)   
 | \/ x + 2  dx = C + ------------
 |                         3      
/                                 
$${{2\,\left(x+2\right)^{{{3}\over{2}}}}\over{3}}$$
The graph
The answer [src]
              ___
    ___   4*\/ 2 
2*\/ 3  - -------
             3   
$$2\,\sqrt{3}-{{2^{{{5}\over{2}}}}\over{3}}$$
=
=
              ___
    ___   4*\/ 2 
2*\/ 3  - -------
             3   
$$- \frac{4 \sqrt{2}}{3} + 2 \sqrt{3}$$
Numerical answer [src]
1.57848353197363
1.57848353197363
The graph
Integral of sqrt(x+2) dx

    Use the examples entering the upper and lower limits of integration.