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xtg^2x
Solving integrals/ xtg^2x

Integral of xtg^2x dx

Limits of integration:

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The graph:

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Piecewise:

The solution

You have entered [src] 
  1             
  /             
 |              
 |       2      
 |  x*tan (x) dx
 |              
/               
0
$$\int\limits_{0}^{1} x \tan^{2}{\left(x \right)}\, dx$$ 
Integral(x*tan(x)^2, (x, 0, 1))
The answer (Indefinite) [src] 
  /                                                   
 |                     2      /       2   \           
 |      2             x    log\1 + tan (x)/           
 | x*tan (x) dx = C - -- - ---------------- + x*tan(x)
 |                    2           2                   
/
$$\int x \tan^{2}{\left(x \right)}\, dx = C - \frac{x^{2}}{2} + x \tan{\left(x \right)} - \frac{\log{\left(\tan^{2}{\left(x \right)} + 1 \right)}}{2}$$
Simplify
The graph
Plot the graph f(x)
The answer [src] 
         /       2   \         
  1   log\1 + tan (1)/         
- - - ---------------- + tan(1)
  2          2
$$- \frac{\log{\left(1 + \tan^{2}{\left(1 \right)} \right)}}{2} - \frac{1}{2} + \tan{\left(1 \right)}$$ 
=
= 
         /       2   \         
  1   log\1 + tan (1)/         
- - - ---------------- + tan(1)
  2          2
$$- \frac{\log{\left(1 + \tan^{2}{\left(1 \right)} \right)}}{2} - \frac{1}{2} + \tan{\left(1 \right)}$$ 
-1/2 - log(1 + tan(1)^2)/2 + tan(1)
Numerical answer [src] 
0.441781254268888
0.441781254268888
The graph
Integral of xtg^2x dx

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

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