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Similar expressions
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Solving integrals/ 1/(sinx^2-1)

Integral of 1/(sinx^2-1) dx

The solution

You have entered [src]

  1                 
  /                 
 |                  
 |         1        
 |  1*----------- dx
 |       2          
 |    sin (x) - 1   
 |                  
/                   
0

\int\limits_{0}^{1} 1 \cdot \frac{1}{\sin^{2}{\left(x \right)} - 1}\, dx

Integral(1/(sin(x)^2 - 1*1), (x, 0, 1))

The answer (Indefinite) [src]

  /                              /x\  
 |                          2*tan|-|  
 |        1                      \2/  
 | 1*----------- dx = C + ------------
 |      2                         2/x\
 |   sin (x) - 1          -1 + tan |-|
 |                                 \2/
/

\int 1 \cdot \frac{1}{\sin^{2}{\left(x \right)} - 1}\, dx = C + \frac{2 \tan{\left(\frac{x}{2} \right)}}{\tan^{2}{\left(\frac{x}{2} \right)} - 1}

Simplify

The graph

Plot the graph f(x)

The answer [src]

  2*tan(1/2)  
--------------
        2     
-1 + tan (1/2)

\frac{2 \tan{\left(\frac{1}{2} \right)}}{-1 + \tan^{2}{\left(\frac{1}{2} \right)}}

  2*tan(1/2)  
--------------
        2     
-1 + tan (1/2)

\frac{2 \tan{\left(\frac{1}{2} \right)}}{-1 + \tan^{2}{\left(\frac{1}{2} \right)}}

Упростить

Numerical answer [src]

-1.5574077246549

-1.5574077246549

The graph

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

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Identical expressions

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Integral of 1/(sinx^2-1) dx

Limits of integration:

The graph:

Piecewise:

The solution