Mister Exam

Integral of sqrt(6x-1) dx

Limits of integration:

from to
v

The graph:

from to

Piecewise:

The solution

You have entered [src]
  9               
  /               
 |                
 |    _________   
 |  \/ 6*x - 1  dx
 |                
/                 
1                 
$$\int\limits_{1}^{9} \sqrt{6 x - 1}\, dx$$
Integral(sqrt(6*x - 1*1), (x, 1, 9))
The answer (Indefinite) [src]
  /                                  
 |                                3/2
 |   _________          (-1 + 6*x)   
 | \/ 6*x - 1  dx = C + -------------
 |                            9      
/                                    
$${{\left(6\,x-1\right)^{{{3}\over{2}}}}\over{9}}$$
The graph
The answer [src]
      ___        ____
  5*\/ 5    53*\/ 53 
- ------- + ---------
     9          9    
$${{53^{{{3}\over{2}}}}\over{9}}-{{5^{{{3}\over{2}}}}\over{9}}$$
=
=
      ___        ____
  5*\/ 5    53*\/ 53 
- ------- + ---------
     9          9    
$$- \frac{5 \sqrt{5}}{9} + \frac{53 \sqrt{53}}{9}$$
Numerical answer [src]
41.6294982493743
41.6294982493743
The graph
Integral of sqrt(6x-1) dx

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