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1/cosh(x)^2

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  • 1/cosh(x)^2dx
Solving integrals/ 1/cosh(x)^2

Integral of 1/cosh(x)^2 dx

Limits of integration:

from to
v

The graph:

from to

Piecewise:

The solution

You have entered [src] 
  1              
  /              
 |               
 |       1       
 |  1*-------- dx
 |        2      
 |    cosh (x)   
 |               
/                
0
$$\int\limits_{0}^{1} 1 \cdot \frac{1}{\cosh^{2}{\left(x \right)}}\, dx$$
Simplify
The answer (Indefinite) [src] 
  /                           /x\  
 |                      2*tanh|-|  
 |      1                     \2/  
 | 1*-------- dx = C + ------------
 |       2                     2/x\
 |   cosh (x)          1 + tanh |-|
 |                              \2/
/
$${{4}\over{2\,e^ {- 2\,x }+2}}$$
Simplify
The graph
Plot the graph f(x)
The answer [src] 
 2*tanh(1/2)  
--------------
        2     
1 + tanh (1/2)
$${{2\,e^2}\over{e^2+1}}-1$$ 
=
= 
 2*tanh(1/2)  
--------------
        2     
1 + tanh (1/2)
$$\frac{2 \tanh{\left(\frac{1}{2} \right)}}{\tanh^{2}{\left(\frac{1}{2} \right)} + 1}$$
Simplify
Numerical answer [src] 
0.761594155955765
0.761594155955765
The graph
Integral of 1/cosh(x)^2 dx

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

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