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sinx*tgx
Solving integrals/ sinx*tgx

Integral of sinx*tgx dx

Limits of integration:

from to
v

The graph:

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Piecewise:

The solution

You have entered [src] 
  1                 
  /                 
 |                  
 |  sin(x)*tan(x) dx
 |                  
/                   
0
$$\int\limits_{0}^{1} \sin{\left(x \right)} \tan{\left(x \right)}\, dx$$
Simplify
The answer (Indefinite) [src] 
  /                                                                  
 |                        log(1 + sin(x))            log(-1 + sin(x))
 | sin(x)*tan(x) dx = C + --------------- - sin(x) - ----------------
 |                               2                          2        
/
$${{\log \left(\sin x+1\right)}\over{2}}-{{\log \left(\sin x-1\right) }\over{2}}-\sin x$$
Simplify
The graph
Plot the graph f(x)
The answer [src] 
log(1 + sin(1))            log(1 - sin(1))
--------------- - sin(1) - ---------------
       2                          2
$${{\log \left(\sin 1+1\right)}\over{2}}-{{\log \left(1-\sin 1\right) }\over{2}}-\sin 1$$ 
=
= 
log(1 + sin(1))            log(1 - sin(1))
--------------- - sin(1) - ---------------
       2                          2
$$- \sin{\left(1 \right)} + \frac{\log{\left(\sin{\left(1 \right)} + 1 \right)}}{2} - \frac{\log{\left(- \sin{\left(1 \right)} + 1 \right)}}{2}$$
Simplify
Numerical answer [src] 
0.384720186075621
0.384720186075621
The graph
Integral of sinx*tgx dx

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

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