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1/(sin²x×cos²x)

Integral of 1/(sin²x×cos²x) dx

Limits of integration:

from to
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The graph:

from to

Piecewise:

The solution

You have entered [src]
  1                   
  /                   
 |                    
 |         1          
 |  --------------- dx
 |     2       2      
 |  sin (x)*cos (x)   
 |                    
/                     
0                     
011sin2(x)cos2(x)dx\int\limits_{0}^{1} \frac{1}{\sin^{2}{\left(x \right)} \cos^{2}{\left(x \right)}}\, dx
Integral(1/(sin(x)^2*cos(x)^2), (x, 0, 1))
The answer (Indefinite) [src]
  /                                   
 |                                    
 |        1                 2*cos(2*x)
 | --------------- dx = C - ----------
 |    2       2              sin(2*x) 
 | sin (x)*cos (x)                    
 |                                    
/                                     
1sin2(x)cos2(x)dx=C2cos(2x)sin(2x)\int \frac{1}{\sin^{2}{\left(x \right)} \cos^{2}{\left(x \right)}}\, dx = C - \frac{2 \cos{\left(2 x \right)}}{\sin{\left(2 x \right)}}
The graph
0.001.000.100.200.300.400.500.600.700.800.90-5000000050000000
The answer [src]
oo
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=
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\infty
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Numerical answer [src]
1.3793236779486e+19
1.3793236779486e+19
The graph
Integral of 1/(sin²x×cos²x) dx

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