I am having trouble with problems from the following book: Mathematical Methods in the Physical Sciences, Third Edition, Mary L. Boas. Specifically, I am looking at problem 11.3.8 and 11.3.9.
The directions state, "Express each of the following integrals as a function.
For #8, the problem is stated
I get based on the definition of the gamma function as defined by the text.
The gamma function is defined as follows in the text,
Both your answer and the Gamma Function's definition are correct
However, I am not sure if this is correct and is someone willing to verify the answer?
For #9, I am not sure where to begin:
The problem is stated Hint: Put
Well, do what they say: , so:
What am I supposed to do with this? The hint doesn't help me much. I still have to integrate with respect to u and I don't know how to put dx in terms of du if this is the case. Does anyone have any suggestions of where to begin or how to set-up this problem?