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In my case the integrand cannot be complex in the limits on integration. When i'm changing the integrand to Im[integrand]: NIntegrate[Im[MyD[0.001, Ez, Ep, 10, 2, WLU, WRD, mLUPi, m1i, mRDOWNi]], {Ez, -((mRDOWNi/mLUPi)*WRD + e*0.001),...