The integral ∫sin(2sinh(3x)) presents significant challenges in finding an anti-derivative expressible in elementary functions. A user attempted a u-substitution with u=3x, simplifying the integral to 1/3∫sin(2sinh(u)), but faced difficulties in eliminating the sinh function. The discussion highlights the complexity of the integral and questions its solvability in terms of standard functions, indicating that further exploration of identities or transformations may be necessary.
PREREQUISITESStudents studying calculus, particularly those focusing on integration techniques, and educators seeking to understand complex integral problems involving hyperbolic and trigonometric functions.
You should always include the dx or whatever when writing an integral.anthonybommarito1 said: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!