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Solving integrals/ tg(2ex-lnx)

Integral of tg(2ex-lnx) dx

Limits of integration:

from to
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The graph:

from to

Piecewise:

The solution

You have entered [src] 
  1                      
  /                      
 |                       
 |     /   x         \   
 |  tan\2*E  - log(x)/ dx
 |                       
/                        
0
$$\int\limits_{0}^{1} \tan{\left(2 e^{x} - \log{\left(x \right)} \right)}\, dx$$ 
Integral(tan(2*E^x - log(x)), (x, 0, 1))
The answer (Indefinite) [src] 
                                 /                      
  /                             |                       
 |                              |    /             x\   
 |    /   x         \           | sin\-log(x) + 2*e /   
 | tan\2*E  - log(x)/ dx = C +  | ------------------- dx
 |                              |    /             x\   
/                               | cos\-log(x) + 2*e /   
                                |                       
                               /
$$\int \tan{\left(2 e^{x} - \log{\left(x \right)} \right)}\, dx = C + \int \frac{\sin{\left(2 e^{x} - \log{\left(x \right)} \right)}}{\cos{\left(2 e^{x} - \log{\left(x \right)} \right)}}\, dx$$
Simplify
The answer [src] 
  1                       
  /                       
 |                        
 |     /             x\   
 |  tan\-log(x) + 2*e / dx
 |                        
/                         
0
$$\int\limits_{0}^{1} \tan{\left(2 e^{x} - \log{\left(x \right)} \right)}\, dx$$ 
=
= 
  1                       
  /                       
 |                        
 |     /             x\   
 |  tan\-log(x) + 2*e / dx
 |                        
/                         
0
$$\int\limits_{0}^{1} \tan{\left(2 e^{x} - \log{\left(x \right)} \right)}\, dx$$ 
Integral(tan(-log(x) + 2*exp(x)), (x, 0, 1))
Numerical answer [src] 
-0.01859454513981
-0.01859454513981

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

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