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sqrt(8+x^2)
Solving integrals/ sqrt(8+x^2)

Integral of sqrt(8+x^2) dx

Limits of integration:

from to
v

The graph:

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Piecewise:

The solution

You have entered [src] 
  1               
  /               
 |                
 |     ________   
 |    /      2    
 |  \/  8 + x   dx
 |                
/                 
0
$$\int\limits_{0}^{1} \sqrt{x^{2} + 8}\, dx$$ 
Integral(sqrt(8 + x^2), (x, 0, 1))
The answer (Indefinite) [src] 
  /                                                     
 |                                              ________
 |    ________                 /    ___\       /      2 
 |   /      2                  |x*\/ 2 |   x*\/  8 + x  
 | \/  8 + x   dx = C + 4*asinh|-------| + -------------
 |                             \   4   /         2      
/
$$\int \sqrt{x^{2} + 8}\, dx = C + \frac{x \sqrt{x^{2} + 8}}{2} + 4 \operatorname{asinh}{\left(\frac{\sqrt{2} x}{4} \right)}$$
Simplify
The graph
Plot the graph f(x)
The answer [src] 
           /  ___\
3          |\/ 2 |
- + 4*asinh|-----|
2          \  4  /
$$4 \operatorname{asinh}{\left(\frac{\sqrt{2}}{4} \right)} + \frac{3}{2}$$ 
=
= 
           /  ___\
3          |\/ 2 |
- + 4*asinh|-----|
2          \  4  /
$$4 \operatorname{asinh}{\left(\frac{\sqrt{2}}{4} \right)} + \frac{3}{2}$$ 
3/2 + 4*asinh(sqrt(2)/4)
Numerical answer [src] 
2.88629436111989
2.88629436111989
The graph
Integral of sqrt(8+x^2) dx

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

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