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sqrt(x^2+25)
Solving integrals/ sqrt(x^2+25)

Integral of sqrt(x^2+25) dx

Limits of integration:

from to
v

The graph:

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Piecewise:

The solution

You have entered [src] 
  1                
  /                
 |                 
 |     _________   
 |    /  2         
 |  \/  x  + 25  dx
 |                 
/                  
0
$$\int\limits_{0}^{1} \sqrt{x^{2} + 25}\, dx$$ 
Integral(sqrt(x^2 + 25), (x, 0, 1))
The answer (Indefinite) [src] 
  /                                                  
 |                               /x\        _________
 |    _________          25*asinh|-|       /       2 
 |   /  2                        \5/   x*\/  25 + x  
 | \/  x  + 25  dx = C + ----------- + --------------
 |                            2              2       
/
$$\int \sqrt{x^{2} + 25}\, dx = C + \frac{x \sqrt{x^{2} + 25}}{2} + \frac{25 \operatorname{asinh}{\left(\frac{x}{5} \right)}}{2}$$
Simplify
The graph
Plot the graph f(x)
The answer [src] 
  ____                
\/ 26    25*asinh(1/5)
------ + -------------
  2            2
$$\frac{25 \operatorname{asinh}{\left(\frac{1}{5} \right)}}{2} + \frac{\sqrt{26}}{2}$$ 
=
= 
  ____                
\/ 26    25*asinh(1/5)
------ + -------------
  2            2
$$\frac{25 \operatorname{asinh}{\left(\frac{1}{5} \right)}}{2} + \frac{\sqrt{26}}{2}$$ 
sqrt(26)/2 + 25*asinh(1/5)/2
Numerical answer [src] 
5.03313613616191
5.03313613616191
The graph
Integral of sqrt(x^2+25) dx

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

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