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Date: 25-3-2019
1162
Date: 25-8-2018
2037
Date: 18-8-2018
2652
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Oloa (2010, pers. comm., Jan. 20, 2010) has considered the following integrals containing nested radicals of 1/2 plus terms in and :
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which he terms Ramanujan log-trigonometric integrals because they involve terms like Ramanujan's nested radicals of 1/2.
The special case
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was known to Euler.
Amazingly, the general integrals have closed forms
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for .
REFERENCES:
Oloa, O. "Two Conjectures on Ramanujan Log-trigonometric Integrals." Unpublished manuscript. January 2010.
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