Solution of given Integration

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Shashibhushan Sharma 2018-12-21

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关闭： MATLAB Answer Bot 2021-8-20

Please help to solve the integration given below:

where K1, K2, A, B and C are constants. The dummy variable is x.

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Walter Roberson 2018-12-23

编辑：Walter Roberson 2018-12-24

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It looks to me as if no closed form solution exists for those particular constants. It looks like it comes out as

int(-exp(-6/x)*(exp(-4*x)*(1+4*x+8*x^2+32/3*x^3+32/3*x^4)-1)/x^2,x = 2 .. 30)

or a constant multiple of that.

Shashibhushan Sharma 2018-12-24

编辑：Shashibhushan Sharma 2018-12-24

I think, it is not possible to solve in closed form.

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回答（1 个）

madhan ravi 2018-12-21

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编辑：madhan ravi 2018-12-21

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gamma = @(A,B) A .* B .* cos( A.*B ) ; % an example how to proceed 
A = 4 ;
B = 6 ;
C = 10 ; 
fun = @(x) ( gamma( A , B .* x ) .* exp( C ./ x) ) ./ x.^2 ;
K1 = 8 ;
K2 = 13 ; 
Result = integral( fun , K1 , K2 )

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Shashibhushan Sharma 2018-12-23

编辑：Shashibhushan Sharma 2018-12-23

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Thnak for trying to give answer of my question.

But Function should be written as:

fun = @(x) ( gamma(A).*gammainc(B .* x, A ) .* exp( C ./ x) ) ./ x.^2 ;

But I want a closed form solution of this integration.

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