How do you integrate #int e^x sin sqrtx dx # using integration by parts?
I got overenthusiastic but I got stuck....I am not sure about it...I suspect it is either very complicated or not possible directly...
I got stuck...
You do not.
You are not going to find a satisfactory answer to this integral. That is, the result cannot be represented by elementary functions. For reference, an acceptable result of this integral would be:
You would not encounter this type of integral in a high school or college level calculus class. In fact, you would not see an integral of this type even while pursuing an undergraduate mathematics degree.