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If alpha=int0^1(e^(9x+3tan^(-1)x))((12+9...

If `alpha=int_0^1(e^(9x+3tan^(-1)x))((12+9x^2)/(1+x^2))dx` where `tan^(-1)x` takes only principal values, then, find the value of `((log)_e|1+alpha|-(3pi)/4)`

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