Trigonometric Integral Involving the fractional part
0
Let ${}$ denote the fractional part function, does the following Integral admit a closed-form ?
$$int_{0}^{pi/2}bigg{frac{1}{cos(x)}bigg}dx$$
definite-integrals trigonometric-integrals fractional-part
asked Nov 20 at 18:17
Kays Tomy
1977
add a comment |
0
Let ${}$ denote the fractional part function, does the following Integral admit a closed-form ?
$$int_{0}^{pi/2}bigg{frac{1}{cos(x)}bigg}dx$$
definite-integrals trigonometric-integrals fractional-part
asked Nov 20 at 18:17
Kays Tomy
1977
1
Just out of curiosity, is there a reason you'd expect it to admit a closed form? Or is it just something you wonder about?
– Clayton
Nov 20 at 18:18
I have expressed in terms of an infinite series yet still wonder if somebody could find its closed-form.
– Kays Tomy
Nov 20 at 21:47
add a comment |
0
0
0
4
Let ${}$ denote the fractional part function, does the following Integral admit a closed-form ?
$$int_{0}^{pi/2}bigg{frac{1}{cos(x)}bigg}dx$$
definite-integrals trigonometric-integrals fractional-part
asked Nov 20 at 18:17
Kays Tomy
1977
Let ${}$ denote the fractional part function, does the following Integral admit a closed-form ?
$$int_{0}^{pi/2}bigg{frac{1}{cos(x)}bigg}dx$$
definite-integrals trigonometric-integrals fractional-part
definite-integrals trigonometric-integrals fractional-part
asked Nov 20 at 18:17
Kays Tomy
1977
asked Nov 20 at 18:17
Kays Tomy
1977
asked Nov 20 at 18:17
Kays Tomy
1977
asked Nov 20 at 18:17
Kays Tomy
1977
asked Nov 20 at 18:17
Kays Tomy
1977
1977
1
Just out of curiosity, is there a reason you'd expect it to admit a closed form? Or is it just something you wonder about?
– Clayton
Nov 20 at 18:18
I have expressed in terms of an infinite series yet still wonder if somebody could find its closed-form.
– Kays Tomy
Nov 20 at 21:47
add a comment |
1
Just out of curiosity, is there a reason you'd expect it to admit a closed form? Or is it just something you wonder about?
– Clayton
Nov 20 at 18:18
I have expressed in terms of an infinite series yet still wonder if somebody could find its closed-form.
– Kays Tomy
Nov 20 at 21:47
1
1
Just out of curiosity, is there a reason you'd expect it to admit a closed form? Or is it just something you wonder about?
– Clayton
Nov 20 at 18:18
Just out of curiosity, is there a reason you'd expect it to admit a closed form? Or is it just something you wonder about?
– Clayton
Nov 20 at 18:18
I have expressed in terms of an infinite series yet still wonder if somebody could find its closed-form.
– Kays Tomy
Nov 20 at 21:47
I have expressed in terms of an infinite series yet still wonder if somebody could find its closed-form.
– Kays Tomy
Nov 20 at 21:47
add a comment |
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1
Just out of curiosity, is there a reason you'd expect it to admit a closed form? Or is it just something you wonder about?
– Clayton
Nov 20 at 18:18
I have expressed in terms of an infinite series yet still wonder if somebody could find its closed-form.
– Kays Tomy
Nov 20 at 21:47