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x/(sqrt(2x+7))
Solving integrals/ x/(sqrt(2x+7))

Integral of x/(sqrt(2x+7)) dx

Limits of integration:

from to
v

The graph:

from to

Piecewise:

The solution

You have entered [src] 
  1               
  /               
 |                
 |       x        
 |  ----------- dx
 |    _________   
 |  \/ 2*x + 7    
 |                
/                 
-3
$$\int\limits_{-3}^{1} \frac{x}{\sqrt{2 x + 7}}\, dx$$
Simplify
The answer (Indefinite) [src] 
  /                                                 
 |                          _________            3/2
 |      x               7*\/ 7 + 2*x    (7 + 2*x)   
 | ----------- dx = C - ------------- + ------------
 |   _________                2              6      
 | \/ 2*x + 7                                       
 |                                                  
/
$${{\left(2\,x+7\right)^{{{3}\over{2}}}}\over{6}}-{{7\,\sqrt{2\,x+7} }\over{2}}$$
Simplify
The graph
Plot the graph f(x)
The answer [src] 
-8/3
$$-{{8}\over{3}}$$ 
=
= 
-8/3
$$- \frac{8}{3}$$
Simplify
Numerical answer [src] 
-2.66666666666667
-2.66666666666667
The graph
Integral of x/(sqrt(2x+7)) dx

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

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