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1/((1+x)sqrtx)

Integral of 1/((1+x)sqrtx) dx

Limits of integration:

from to
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The graph:

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Piecewise:

The solution

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  1                 
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 |  (1 + x)*\/ x    
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011x(x+1)dx\int\limits_{0}^{1} \frac{1}{\sqrt{x} \left(x + 1\right)}\, dx
Integral(1/((1 + x)*sqrt(x)), (x, 0, 1))
The answer (Indefinite) [src]
  /                                    
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 |       1                      /  ___\
 | ------------- dx = C + 2*atan\\/ x /
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 | (1 + x)*\/ x                        
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1x(x+1)dx=C+2atan(x)\int \frac{1}{\sqrt{x} \left(x + 1\right)}\, dx = C + 2 \operatorname{atan}{\left(\sqrt{x} \right)}
The graph
0.001.000.100.200.300.400.500.600.700.800.900100
The answer [src]
pi
--
2 
π2\frac{\pi}{2}
=
=
pi
--
2 
π2\frac{\pi}{2}
pi/2
Numerical answer [src]
1.57079632612502
1.57079632612502
The graph
Integral of 1/((1+x)sqrtx) dx

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