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Find-0-1-ln-cos-pix-2-x-2-x-dx-




Question Number 210011 by hardmath last updated on 28/Jul/24
Find:     ∫_0 ^( 1)   ((ln (cos (((πx)/2))))/(x^2  + x)) dx  =  ?
$$\mathrm{Find}:\:\:\:\:\:\int_{\mathrm{0}} ^{\:\mathrm{1}} \:\:\frac{\mathrm{ln}\:\left(\mathrm{cos}\:\left(\frac{\pi\mathrm{x}}{\mathrm{2}}\right)\right)}{\mathrm{x}^{\mathrm{2}} \:+\:\mathrm{x}}\:\mathrm{dx}\:\:=\:\:? \\ $$

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