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Solving integrals/ 1/sqrt1-x^2

Integral of 1/sqrt1-x^2 dx

Limits of integration:

from to
v

The graph:

from to

Piecewise:

The solution

You have entered [src] 
  1                
  /                
 |                 
 |  /  1      2\   
 |  |----- - x | dx
 |  |  ___     |   
 |  \\/ 1      /   
 |                 
/                  
0
$$\int\limits_{0}^{1} \left(- x^{2} + \frac{1}{\sqrt{1}}\right)\, dx$$ 
Integral(1/(sqrt(1)) - x^2, (x, 0, 1))
Detail solution

  1. Integrate term-by-term:

    1. The integral of a constant times a function is the constant times the integral of the function:

      1. The integral of is when :

      So, the result is:

    1. The integral of a constant is the constant times the variable of integration:

    The result is:

  2. Add the constant of integration:

The answer is:

The answer (Indefinite) [src] 
  /                            
 |                            3
 | /  1      2\              x 
 | |----- - x | dx = C + x - --
 | |  ___     |              3 
 | \\/ 1      /                
 |                             
/
$$\int \left(- x^{2} + \frac{1}{\sqrt{1}}\right)\, dx = C - \frac{x^{3}}{3} + x$$
Simplify
The graph
Plot the graph f(x)
The answer [src] 
2/3
$$\frac{2}{3}$$ 
=
= 
2/3
$$\frac{2}{3}$$ 
2/3
Numerical answer [src] 
0.666666666666667
0.666666666666667

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

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