Asked by Sarah
How do integrate this with respect to x?
integral of ((x^y)/y!)e^(-2x) from 0 to infinity
The e is an exponential. The answer is supposed to be (1/2)^(y+1) but I don't know the steps to getting it.
integral of ((x^y)/y!)e^(-2x) from 0 to infinity
The e is an exponential. The answer is supposed to be (1/2)^(y+1) but I don't know the steps to getting it.
Answers
Answered by
Steve
Must be some special form. I tried an online integrator, and got
(1/2)^(y+1) Γ(y+1)/y!
But since Γ(y+1) = y!, that gives your answer.
I'd suggest looking into integral forms involving the gamma function.
(1/2)^(y+1) Γ(y+1)/y!
But since Γ(y+1) = y!, that gives your answer.
I'd suggest looking into integral forms involving the gamma function.
There are no AI answers yet. The ability to request AI answers is coming soon!
Submit Your Answer
We prioritize human answers over AI answers.
If you are human, and you can answer this question, please submit your answer.