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If-0-pi-cos-x-x-2-2-dx-T-then-0-pi-sin-2x-x-1-dx-




Question Number 183794 by cortano1 last updated on 30/Dec/22
 If ∫_0 ^π  ((cos x)/((x+2)^2 )) dx= T   then ∫_0 ^π  ((sin 2x)/(x+1)) dx = ?
Ifπ0cosx(x+2)2dx=Tthenπ0sin2xx+1dx=?
Commented by Frix last updated on 30/Dec/22
∫((cos x)/((x+2)^2 ))dx=sin 2 Ci (x+2) −cos 2 Si (x+2) −((cos x)/(x+2)) +C_1   ∫((sin 2x)/(x+1))dx=cos 2 Si (2x+2) −sin 2 Ci (2x+2) +C_2   I don′t see any connection, blame it on me...  But are you sure there′s no typo in your question?
cosx(x+2)2dx=sin2Ci(x+2)cos2Si(x+2)cosxx+2+C1sin2xx+1dx=cos2Si(2x+2)sin2Ci(2x+2)+C2Idontseeanyconnection,blameitonmeButareyousuretheresnotypoinyourquestion?

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