Mister Exam

Other calculators

  • How to use it?

  • Integral of d{x}:
  • Integral of 0 Integral of 0
  • Integral of cos Integral of cos
  • Integral of x*ln(x) Integral of x*ln(x)
  • Integral of cos^2x Integral of cos^2x

  • Identical expressions

  • sqrt(one +(one /(shx)^ two))
  • square root of (1 plus (1 divide by (shx) squared ))
  • square root of (one plus (one divide by (shx) to the power of two))
  • √(1+(1/(shx)^2))
  • sqrt(1+(1/(shx)2))
  • sqrt1+1/shx2
  • sqrt(1+(1/(shx)²))
  • sqrt(1+(1/(shx) to the power of 2))
  • sqrt1+1/shx^2
  • sqrt(1+(1 divide by (shx)^2))
  • sqrt(1+(1/(shx)^2))dx

  • Similar expressions

  • sqrt(1-(1/(shx)^2))
Solving integrals/ sqrt(1+(1/(shx)^2))

Integral of sqrt(1+(1/(shx)^2)) dx

Limits of integration:

from to
v

The graph:

from to

Piecewise:

The solution

You have entered [src] 
  1                         
  /                         
 |                          
 |       ________________   
 |      /          1        
 |     /  1 + 1*--------  dx
 |    /             2       
 |  \/          sinh (x)    
 |                          
/                           
0
$$\int\limits_{0}^{1} \sqrt{1 + 1 \cdot \frac{1}{\sinh^{2}{\left(x \right)}}}\, dx$$ 
Integral(sqrt(1 + 1/sinh(x)^2), (x, 0, 1))
The answer [src] 
  1                     
  /                     
 |                      
 |     ______________   
 |    /         2       
 |  \/  1 + sinh (x)    
 |  ----------------- dx
 |       sinh(x)        
 |                      
/                       
0
$$\int\limits_{0}^{1} \frac{\sqrt{\sinh^{2}{\left(x \right)} + 1}}{\sinh{\left(x \right)}}\, dx$$ 
=
= 
  1                     
  /                     
 |                      
 |     ______________   
 |    /         2       
 |  \/  1 + sinh (x)    
 |  ----------------- dx
 |       sinh(x)        
 |                      
/                       
0
$$\int\limits_{0}^{1} \frac{\sqrt{\sinh^{2}{\left(x \right)} + 1}}{\sinh{\left(x \right)}}\, dx$$
Упростить
Numerical answer [src] 
44.2518854955641
44.2518854955641

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

    © Mister Exam – Calculator