Final answer:
The student asked for help with finding an integral but provided a function with a typographical error, making it unclear what the correct integral is. A proper expression for the function is needed to proceed with solving the integral.
Step-by-step explanation:
The student has asked to find the integral of a mathematical function. It appears that there is a typographical error in the question, as the function to integrate is not clearly specified. The provided information talks about different methods of integration, including by parts and substitution as well as the consideration of symmetry in certain problems. Unfortunately, due to the error in the function provided (1 9x e sin(x) dx), a clear and accurate answer cannot be given. The correct expression for the integral should be checked before proceeding. Once the proper function is identified, integration techniques like substitution or by parts can be applied accordingly.