integration to find exact value: use d/dx [tan^(-1)⁡|sinh⁡x | ]=sech⁡x

[wiloben25]

integration to find exact value: use d/dx [tan^(-1)⁡|sinh⁡x | ]=sech⁡x

really having trouble with this question as our lecturer hasnt even covered anything remotely similar to it.


- Using the fact that d/dx [tan^(-1)⁡|sinh⁡x | ]=sech⁡x, find an exact value for ∫ 1/(x√(x2-4)) from 2 to infinity.


appreciate the help
b

 

[Deleted member 4993]

really having trouble with this question as our lecturer hasnt even covered anything remotely similar to it.


- Using the fact that d/dx [tan^(-1)⁡|sinh⁡x | ]=sech⁡x, find an exact value for ∫ 1/(x√(x2-4)) from 2 to infinity.


appreciate the help
b

Substitute:

x = 2*sech²(x)

and continue...