Mister Exam

Other calculators

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

Integral of 1/cosh(x) dx

Limits of integration:

from to
v

The graph:

from to

Piecewise:

The solution

You have entered [src] 
  1             
  /             
 |              
 |       1      
 |  1*------- dx
 |    cosh(x)   
 |              
/               
0
∫011⋅1cosh⁡(x) dx\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-2\,\arctan e^ {- x }
Simplify
The graph
0.001.000.100.200.300.400.500.600.700.800.9002
Plot the graph f(x)
The answer [src] 
2*atan(tanh(1/2))
π2−2 arctan⁡e−1{{\pi}\over{2}}-2\,\arctan e^ {- 1 } 
=
= 
2*atan(tanh(1/2))
2atan⁡(tanh⁡(12))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.

    © Mister Exam – Calculator