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1/cosh(x)
Solving integrals/ 1/cosh(x)

Integral of 1/cosh(x) dx

Limits of integration:

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The graph:

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Piecewise:

The solution

You have entered [src] 
  1             
  /             
 |              
 |       1      
 |  1*------- dx
 |    cosh(x)   
 |              
/               
0
$$\int\limits_{0}^{1} 1 \cdot \frac{1}{\cosh{\left(x \right)}}\, dx$$
Simplify
The answer (Indefinite) [src] 
  /                                  
 |                                   
 |      1                   /    /x\\
 | 1*------- dx = C + 2*atan|tanh|-||
 |   cosh(x)                \    \2//
 |                                   
/
$$-2\,\arctan e^ {- x }$$
Simplify
The graph
Plot the graph f(x)
The answer [src] 
2*atan(tanh(1/2))
$${{\pi}\over{2}}-2\,\arctan e^ {- 1 }$$ 
=
= 
2*atan(tanh(1/2))
$$2 \operatorname{atan}{\left(\tanh{\left(\frac{1}{2} \right)} \right)}$$
Simplify
Numerical answer [src] 
0.865769483239659
0.865769483239659
The graph
Integral of 1/cosh(x) dx

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

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