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Question: Error in a complicated integral---complex result when integral is obviously real

Question:Error in a complicated integral---complex result when integral is obviously real

kjetil b halvorsen 25 Maple
integral special-function
December 19 2017
1

Look at the following code:

M1 := (t,lambda1,k,lambda2) -> exp( -(1/2)*(log(1-2*lambda1*t) + k*log(1-2*lambda2*t)) )

int( diff(M1(z,2,9,1/2),z)/sqrt(abs(z)),z=-infinity..0 )/GAMMA(1/2) 

simplify(%)

evalf(%)

returns:    -4.682354481-5.587737200*I

 

which cannot be true. 
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