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Question Number 116554 by Bird last updated on 04/Oct/20
studytheintegral∫0∞sinnxxndxnintegrandn⩾2
Answered by Olaf last updated on 05/Oct/20
I2n=nπ(2n)!∑nk=1C2nn−k(−1)n−kk2n−1I2n+1=π2(2n)!∑nk=0C2n+1n−k(−1)n−k(k+12)2nThedemonstrationisverylongandnotsoeasyforthiskindofapps.
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