How to evaluate the integral int s*2^s ds ?

acainzar3t2

acainzar3t2

Answered question

2023-01-20

How to evaluate the integral s2sds ?

Answer & Explanation

eyrurin3wj

eyrurin3wj

Beginner2023-01-21Added 10 answers

Using parts-by-parts integration, we have
PSKint s*2^sds=int s*(2^s/log2)'ds=s*2^s/log2-1/log2int s' 2^s ds=s*2^s/log2-1/log2 int 2^s ds=(s*2^s)/log2-2^s/(log2)^2ZSK
Finally
s2sds=2s(log2)2(slog21)+c
where c=constant

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