10 lines
1.8 KiB
Plaintext
10 lines
1.8 KiB
Plaintext
Integrate[(E^(-(c*x) + I*k0*x)*(1 - E^(-(c*x)))^7*BesselJ[4, k*x])/(k0^7*x^6), {x, 0, Infinity}, Assumptions -> n == 4 && q == 7 && κ == 7 && c >= 0 && k >= 0 && k0 >= 0 && n >= 0]
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-8 c x + I k0 x c x 7 2 2 4 4 6 6 8 8 Pi 2 2 4 4 6 6 8 8
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E (-1 + E ) (63 (-41829913125 + 5320972800 k x - 2389770240 k x - 11995709440 k x + 2147483648 k x ) Cos[-- + k x] + 4 Sqrt[2] k x (105411381075 - 22348085760 k x + 44281036800 k x - 58133053440 k x + 2147483648 k x ) (Cos[k x] + Sin[k x]))
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4
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Integrate::idiv: Integral of -------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------- does not converge on {0, Infinity}.
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19/2 7 31/2
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8589934592 k k0 Sqrt[2 Pi] x
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Series[Integrate[(E^(-(c*x) + I*k0*x)*(1 - E^(-(c*x)))^7*BesselJ[4, k*x])/(k0^7*x^6), {x, 0, Infinity}, Assumptions -> n == 4 && q == 7 && κ == 7 && c >= 0 && k >= 0 && k0 >= 0 && n >= 0], {k, Infinity, 10}]
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