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1+tg^2x

Integral of 1+tg^2x dx

Limits of integration:

from to
v

The graph:

from to

Piecewise:

The solution

You have entered [src]
  1                 
  /                 
 |                  
 |  /       2   \   
 |  \1 + tan (x)/ dx
 |                  
/                   
0                   
$$\int\limits_{0}^{1} \left(\tan^{2}{\left(x \right)} + 1\right)\, dx$$
Integral(1 + tan(x)^2, (x, 0, 1))
Detail solution
  1. Integrate term-by-term:

    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:

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

    The result is:

  2. Add the constant of integration:


The answer is:

The answer (Indefinite) [src]
  /                             
 |                              
 | /       2   \                
 | \1 + tan (x)/ dx = C + tan(x)
 |                              
/                               
$$\tan x$$
The graph
The answer [src]
sin(1)
------
cos(1)
$$\tan 1$$
=
=
sin(1)
------
cos(1)
$$\frac{\sin{\left(1 \right)}}{\cos{\left(1 \right)}}$$
Numerical answer [src]
1.5574077246549
1.5574077246549
The graph
Integral of 1+tg^2x dx

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