Integrating sin(2sinh(3x))

[anthonybommarito1]

Homework Statement

∫sin(2sinh(3x))

Homework Equations

The Attempt at a Solution

okay so i did a u substitution letting u=3x so we get 1/3∫sin(2sinh(u)) but i have no idea how to get rid of the sinh, i tried writing in exponential form or maybe i have to use some identity.. I am not sure where to go from there!

 

[SteamKing]

Homework Statement

∫sin(2sinh(3x))

Homework Equations

The Attempt at a Solution

okay so i did a u substitution letting u=3x so we get 1/3∫sin(2sinh(u)) but i have no idea how to get rid of the sinh, i tried writing in exponential form or maybe i have to use some identity.. I am not sure where to go from there!

You should always include the dx or whatever when writing an integral.

It's not clear this integral even has an anti-derivative which can be expressed in terms of elementary functions.

Where does this integral come from?