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1+tan^2(x)
Solving integrals/ 1+tan^2(x)

Integral of 1+tan^2(x) dx

Limits of integration:

from to
v

The graph:

from to

Piecewise:

The solution

You have entered [src] 
  1                 
  /                 
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 |  /       2   \   
 |  \1 + tan (x)/ dx
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/                   
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)
 |                              
/
$$\int \left(\tan^{2}{\left(x \right)} + 1\right)\, dx = C + \tan{\left(x \right)}$$
Simplify
The graph
Plot the graph f(x)
The answer [src] 
sin(1)
------
cos(1)
$$\frac{\sin{\left(1 \right)}}{\cos{\left(1 \right)}}$$ 
=
= 
sin(1)
------
cos(1)
$$\frac{\sin{\left(1 \right)}}{\cos{\left(1 \right)}}$$ 
sin(1)/cos(1)
Numerical answer [src] 
1.5574077246549
1.5574077246549
The graph
Integral of 1+tan^2(x) dx

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

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