Mister Exam

Integral of tg²x dx

Limits of integration:

from to
v

The graph:

from to

Piecewise:

The solution

You have entered [src]
  1           
  /           
 |            
 |     2      
 |  tan (x) dx
 |            
/             
0             
$$\int\limits_{0}^{1} \tan^{2}{\left(x \right)}\, dx$$
Integral(tan(x)^2, (x, 0, 1))
Detail solution
  1. Rewrite the integrand:

  2. Integrate term-by-term:

    1. The integral of a constant is the constant times the variable of integration:

    The result is:

  3. Add the constant of integration:


The answer is:

The answer (Indefinite) [src]
  /                           
 |                            
 |    2                       
 | tan (x) dx = C - x + tan(x)
 |                            
/                             
$$\tan x-x$$
The graph
The answer [src]
     sin(1)
-1 + ------
     cos(1)
$$\tan 1-1$$
=
=
     sin(1)
-1 + ------
     cos(1)
$$-1 + \frac{\sin{\left(1 \right)}}{\cos{\left(1 \right)}}$$
Numerical answer [src]
0.557407724654902
0.557407724654902
The graph
Integral of tg²x dx

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