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Integral of tgxsin^2(x) dx

Limits of integration:

from to
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The graph:

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Piecewise:

The solution

You have entered [src]
  1                  
  /                  
 |                   
 |            2      
 |  tan(x)*sin (x) dx
 |                   
/                    
0                    
$$\int\limits_{0}^{1} \sin^{2}{\left(x \right)} \tan{\left(x \right)}\, dx$$
Integral(tan(x)*sin(x)^2, (x, 0, 1))
The answer (Indefinite) [src]
  /                                             
 |                            2                 
 |           2             cos (x)              
 | tan(x)*sin (x) dx = C + ------- - log(cos(x))
 |                            2                 
/                                               
$$\int \sin^{2}{\left(x \right)} \tan{\left(x \right)}\, dx = C - \log{\left(\cos{\left(x \right)} \right)} + \frac{\cos^{2}{\left(x \right)}}{2}$$
The graph
The answer [src]
         2                 
  1   cos (1)              
- - + ------- - log(cos(1))
  2      2                 
$$- \frac{1}{2} + \frac{\cos^{2}{\left(1 \right)}}{2} - \log{\left(\cos{\left(1 \right)} \right)}$$
=
=
         2                 
  1   cos (1)              
- - + ------- - log(cos(1))
  2      2                 
$$- \frac{1}{2} + \frac{\cos^{2}{\left(1 \right)}}{2} - \log{\left(\cos{\left(1 \right)} \right)}$$
-1/2 + cos(1)^2/2 - log(cos(1))
Numerical answer [src]
0.261589761249229
0.261589761249229

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