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!
The general approach to integrating sin(2sinh(3x)) involves using the substitution method. This means substituting the variable inside the trigonometric function with a new variable, and then using trigonometric identities and integration techniques to solve the resulting integral.
The substitution used for integrating sin(2sinh(3x)) is u = 2sinh(3x). This substitution allows us to simplify the integral and apply trigonometric identities to solve it.
To simplify the integral sin(2sinh(3x)), we can use the identity sin(2x) = 2sin(x)cos(x). This allows us to rewrite the integral as 2sinh(3x)cos(3x), which can then be further simplified using the double angle identity for cosine.
The limits of integration for integrating sin(2sinh(3x)) will depend on the specific problem at hand. Generally, you will be given a definite integral with limits of integration. However, if you are looking for the indefinite integral, there are no limits of integration.
One helpful tip for integrating sin(2sinh(3x)) is to remember the Pythagorean identity, sin2(x) + cos2(x) = 1. This can be applied to the integral to help simplify it and make it easier to solve.