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x^(-1/2)
Solving integrals/ x^(-1/2)

Integral of x^(-1/2) dx

Limits of integration:

from to
v

The graph:

from to

Piecewise:

The solution

You have entered [src] 
  1         
  /         
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 |    1     
 |  ----- dx
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 |  \/ x    
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0
∫011x dx\int\limits_{0}^{1} \frac{1}{\sqrt{x}}\, dx 
Integral(1/sqrt(x), (x, 0, 1))
Detail solution

  1. The integral of xnx^{n} is xn+1n+1\frac{x^{n + 1}}{n + 1} when n≠−1n \neq -1:

    ∫1x dx=2x\int \frac{1}{\sqrt{x}}\, dx = 2 \sqrt{x}

  2. Add the constant of integration:

    2x+constant2 \sqrt{x}+ \mathrm{constant}

The answer is:

2x+constant2 \sqrt{x}+ \mathrm{constant}

The answer (Indefinite) [src] 
  /                      
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 |   1                ___
 | ----- dx = C + 2*\/ x 
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∫1x dx=C+2x\int \frac{1}{\sqrt{x}}\, dx = C + 2 \sqrt{x}
Simplify
The graph
0.001.000.100.200.300.400.500.600.700.800.900100
Plot the graph f(x)
The answer [src] 
2
22 
=
= 
2
22 
2
Numerical answer [src] 
1.99999999946942
1.99999999946942
The graph
Integral of x^(-1/2) dx

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

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