Mister Exam

Other calculators


x*sqrt(2x+5)

Integral of x*sqrt(2x+5) dx

Limits of integration:

from to
v

The graph:

from to

Piecewise:

The solution

You have entered [src]
  1                 
  /                 
 |                  
 |      _________   
 |  x*\/ 2*x + 5  dx
 |                  
/                   
0                   
$$\int\limits_{0}^{1} x \sqrt{2 x + 5}\, dx$$
Integral(x*sqrt(2*x + 5), (x, 0, 1))
The answer (Indefinite) [src]
  /                                                    
 |                                   3/2            5/2
 |     _________          5*(5 + 2*x)      (5 + 2*x)   
 | x*\/ 2*x + 5  dx = C - -------------- + ------------
 |                              6               10     
/                                                      
$$\int x \sqrt{2 x + 5}\, dx = C + \frac{\left(2 x + 5\right)^{\frac{5}{2}}}{10} - \frac{5 \left(2 x + 5\right)^{\frac{3}{2}}}{6}$$
The graph
The answer [src]
       ___       ___
  14*\/ 7    5*\/ 5 
- -------- + -------
     15         3   
$$- \frac{14 \sqrt{7}}{15} + \frac{5 \sqrt{5}}{3}$$
=
=
       ___       ___
  14*\/ 7    5*\/ 5 
- -------- + -------
     15         3   
$$- \frac{14 \sqrt{7}}{15} + \frac{5 \sqrt{5}}{3}$$
Numerical answer [src]
1.2574120721727
1.2574120721727
The graph
Integral of x*sqrt(2x+5) dx

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