Integration of sin^mx cos^nx using gamma function
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9
9 3
f(1ñ x) =
1 x 1 x x x 9 9 3
9 3 3(9 3
f(x) + f(1ñx) =
x x
x x x 9 3 9
1
9 3 9 3 9 3
f 1 2015
f 1
2016 2016
f 2 2014
f 1
2016 2016
and number an But f
1/ 2
1/ 2
1008 1 9 3 1
f
2016 2 9 3 3 3 2
required sum = 1 + 1 + ........... + (1007 times) +
1
2 = 1007.5
4. (500 G 1088) L (10M120) = 1024 L 16 100
9 3
f(1ñ x) =
1 x 1 x x x 9 9 3
9 3 3(9 3
f(x) + f(1ñx) =
x x
x x x 9 3 9
1
9 3 9 3 9 3
f 1 2015
f 1
2016 2016
f 2 2014
f 1
2016 2016
and number an But f
1/ 2
1/ 2
1008 1 9 3 1
f
2016 2 9 3 3 3 2
required sum = 1 + 1 + ........... + (1007 times) +
1
2 = 1007.5
4. (500 G 1088) L (10M120) = 1024 L 16 100
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